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Finding the Third Proportional to 232,497 and 329,073.75

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Solution

The third proportional to 232,497 and 329,073.75 is: 465,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,497 : 329,073.75 = 329,073.75 : x
  2. Step 2: Convert to fraction form
    232,497/329,073.75 = 329,073.75/x
  3. Step 3: Cross multiply
    232,497x = 329,073.75 × 329,073.75
  4. Step 4: Simplify right side
    232,497x = 108,289,532,939.06
  5. Step 5: Solve for x
    x = 108,289,532,939.06/232,497
  6. Step 6: Final answer
    x = 465,767.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.