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Finding the Third Proportional to 232,536.75 and 329,132.25

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Solution

The third proportional to 232,536.75 and 329,132.25 is: 465,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,536.75 : 329,132.25 = 329,132.25 : x
  2. Step 2: Convert to fraction form
    232,536.75/329,132.25 = 329,132.25/x
  3. Step 3: Cross multiply
    232,536.75x = 329,132.25 × 329,132.25
  4. Step 4: Simplify right side
    232,536.75x = 108,328,037,990.06
  5. Step 5: Solve for x
    x = 108,328,037,990.06/232,536.75
  6. Step 6: Final answer
    x = 465,853.41

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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.