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Finding the Third Proportional to 204,423.75 and 278,569.13

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Solution

The third proportional to 204,423.75 and 278,569.13 is: 379,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,423.75 : 278,569.13 = 278,569.13 : x
  2. Step 2: Convert to fraction form
    204,423.75/278,569.13 = 278,569.13/x
  3. Step 3: Cross multiply
    204,423.75x = 278,569.13 × 278,569.13
  4. Step 4: Simplify right side
    204,423.75x = 77,600,757,403.27
  5. Step 5: Solve for x
    x = 77,600,757,403.27/204,423.75
  6. Step 6: Final answer
    x = 379,607.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.