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Finding the Third Proportional to 204,391.13 and 292,573.13

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Solution

The third proportional to 204,391.13 and 292,573.13 is: 418,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,391.13 : 292,573.13 = 292,573.13 : x
  2. Step 2: Convert to fraction form
    204,391.13/292,573.13 = 292,573.13/x
  3. Step 3: Cross multiply
    204,391.13x = 292,573.13 × 292,573.13
  4. Step 4: Simplify right side
    204,391.13x = 85,599,033,472.27
  5. Step 5: Solve for x
    x = 85,599,033,472.27/204,391.13
  6. Step 6: Final answer
    x = 418,800.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.