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Finding the Third Proportional to 200,535.75 and 434,332.13

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Solution

The third proportional to 200,535.75 and 434,332.13 is: 940,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,535.75 : 434,332.13 = 434,332.13 : x
  2. Step 2: Convert to fraction form
    200,535.75/434,332.13 = 434,332.13/x
  3. Step 3: Cross multiply
    200,535.75x = 434,332.13 × 434,332.13
  4. Step 4: Simplify right side
    200,535.75x = 188,644,394,807.02
  5. Step 5: Solve for x
    x = 188,644,394,807.02/200,535.75
  6. Step 6: Final answer
    x = 940,702.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.