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Finding the Third Proportional to 153,549 and 332,246

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Solution

The third proportional to 153,549 and 332,246 is: 718,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,549 : 332,246 = 332,246 : x
  2. Step 2: Convert to fraction form
    153,549/332,246 = 332,246/x
  3. Step 3: Cross multiply
    153,549x = 332,246 × 332,246
  4. Step 4: Simplify right side
    153,549x = 110,387,404,516
  5. Step 5: Solve for x
    x = 110,387,404,516/153,549
  6. Step 6: Final answer
    x = 718,906.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.