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Finding the Third Proportional to 189,513 and 414,033.75

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Solution

The third proportional to 189,513 and 414,033.75 is: 904,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,513 : 414,033.75 = 414,033.75 : x
  2. Step 2: Convert to fraction form
    189,513/414,033.75 = 414,033.75/x
  3. Step 3: Cross multiply
    189,513x = 414,033.75 × 414,033.75
  4. Step 4: Simplify right side
    189,513x = 171,423,946,139.06
  5. Step 5: Solve for x
    x = 171,423,946,139.06/189,513
  6. Step 6: Final answer
    x = 904,549.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.