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Finding the Third Proportional to 232,500 and 329,078

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Solution

The third proportional to 232,500 and 329,078 is: 465,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,500 : 329,078 = 329,078 : x
  2. Step 2: Convert to fraction form
    232,500/329,078 = 329,078/x
  3. Step 3: Cross multiply
    232,500x = 329,078 × 329,078
  4. Step 4: Simplify right side
    232,500x = 108,292,330,084
  5. Step 5: Solve for x
    x = 108,292,330,084/232,500
  6. Step 6: Final answer
    x = 465,773.46

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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.