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Finding the Third Proportional to 132,348 and 310,098

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Solution

The third proportional to 132,348 and 310,098 is: 726,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,348 : 310,098 = 310,098 : x
  2. Step 2: Convert to fraction form
    132,348/310,098 = 310,098/x
  3. Step 3: Cross multiply
    132,348x = 310,098 × 310,098
  4. Step 4: Simplify right side
    132,348x = 96,160,769,604
  5. Step 5: Solve for x
    x = 96,160,769,604/132,348
  6. Step 6: Final answer
    x = 726,575.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.