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Finding the Third Proportional to 200,192 and 439,758

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Solution

The third proportional to 200,192 and 439,758 is: 966,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,192 : 439,758 = 439,758 : x
  2. Step 2: Convert to fraction form
    200,192/439,758 = 439,758/x
  3. Step 3: Cross multiply
    200,192x = 439,758 × 439,758
  4. Step 4: Simplify right side
    200,192x = 193,387,098,564
  5. Step 5: Solve for x
    x = 193,387,098,564/200,192
  6. Step 6: Final answer
    x = 966,008.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.