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Finding the Third Proportional to 189,350.16 and 414,914.91

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Solution

The third proportional to 189,350.16 and 414,914.91 is: 909,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,350.16 : 414,914.91 = 414,914.91 : x
  2. Step 2: Convert to fraction form
    189,350.16/414,914.91 = 414,914.91/x
  3. Step 3: Cross multiply
    189,350.16x = 414,914.91 × 414,914.91
  4. Step 4: Simplify right side
    189,350.16x = 172,154,379,428.45
  5. Step 5: Solve for x
    x = 172,154,379,428.45/189,350.16
  6. Step 6: Final answer
    x = 909,185.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.