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Finding the Third Proportional to 232,504.50 and 329,083.50

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Solution

The third proportional to 232,504.50 and 329,083.50 is: 465,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,504.50 : 329,083.50 = 329,083.50 : x
  2. Step 2: Convert to fraction form
    232,504.50/329,083.50 = 329,083.50/x
  3. Step 3: Cross multiply
    232,504.50x = 329,083.50 × 329,083.50
  4. Step 4: Simplify right side
    232,504.50x = 108,295,949,972.25
  5. Step 5: Solve for x
    x = 108,295,949,972.25/232,504.50
  6. Step 6: Final answer
    x = 465,780.02

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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.