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Finding the Third Proportional to 204,363 and 282,214.13

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Solution

The third proportional to 204,363 and 282,214.13 is: 389,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,363 : 282,214.13 = 282,214.13 : x
  2. Step 2: Convert to fraction form
    204,363/282,214.13 = 282,214.13/x
  3. Step 3: Cross multiply
    204,363x = 282,214.13 × 282,214.13
  4. Step 4: Simplify right side
    204,363x = 79,644,812,349.52
  5. Step 5: Solve for x
    x = 79,644,812,349.52/204,363
  6. Step 6: Final answer
    x = 389,722.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.