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Finding the Third Proportional to 232,418.25 and 359,137.13

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Solution

The third proportional to 232,418.25 and 359,137.13 is: 554,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,418.25 : 359,137.13 = 359,137.13 : x
  2. Step 2: Convert to fraction form
    232,418.25/359,137.13 = 359,137.13/x
  3. Step 3: Cross multiply
    232,418.25x = 359,137.13 × 359,137.13
  4. Step 4: Simplify right side
    232,418.25x = 128,979,474,553.27
  5. Step 5: Solve for x
    x = 128,979,474,553.27/232,418.25
  6. Step 6: Final answer
    x = 554,945.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.