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Finding the Third Proportional to 232,687.13 and 341,638.88

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Solution

The third proportional to 232,687.13 and 341,638.88 is: 501,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,687.13 : 341,638.88 = 341,638.88 : x
  2. Step 2: Convert to fraction form
    232,687.13/341,638.88 = 341,638.88/x
  3. Step 3: Cross multiply
    232,687.13x = 341,638.88 × 341,638.88
  4. Step 4: Simplify right side
    232,687.13x = 116,717,120,911.27
  5. Step 5: Solve for x
    x = 116,717,120,911.27/232,687.13
  6. Step 6: Final answer
    x = 501,605.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.