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Finding the Third Proportional to 232,530.75 and 329,123.25

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Solution

The third proportional to 232,530.75 and 329,123.25 is: 465,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,530.75 : 329,123.25 = 329,123.25 : x
  2. Step 2: Convert to fraction form
    232,530.75/329,123.25 = 329,123.25/x
  3. Step 3: Cross multiply
    232,530.75x = 329,123.25 × 329,123.25
  4. Step 4: Simplify right side
    232,530.75x = 108,322,113,690.56
  5. Step 5: Solve for x
    x = 108,322,113,690.56/232,530.75
  6. Step 6: Final answer
    x = 465,839.95

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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.