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Finding the Third Proportional to 153,042.50 and 332,294

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Solution

The third proportional to 153,042.50 and 332,294 is: 721,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,042.50 : 332,294 = 332,294 : x
  2. Step 2: Convert to fraction form
    153,042.50/332,294 = 332,294/x
  3. Step 3: Cross multiply
    153,042.50x = 332,294 × 332,294
  4. Step 4: Simplify right side
    153,042.50x = 110,419,302,436
  5. Step 5: Solve for x
    x = 110,419,302,436/153,042.50
  6. Step 6: Final answer
    x = 721,494.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.