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Finding the Third Proportional to 189,349.50 and 414,911.25

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Solution

The third proportional to 189,349.50 and 414,911.25 is: 909,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,349.50 : 414,911.25 = 414,911.25 : x
  2. Step 2: Convert to fraction form
    189,349.50/414,911.25 = 414,911.25/x
  3. Step 3: Cross multiply
    189,349.50x = 414,911.25 × 414,911.25
  4. Step 4: Simplify right side
    189,349.50x = 172,151,345,376.56
  5. Step 5: Solve for x
    x = 172,151,345,376.56/189,349.50
  6. Step 6: Final answer
    x = 909,172.43

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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.