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Finding the Third Proportional to 132,864 and 310,464

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Solution

The third proportional to 132,864 and 310,464 is: 725,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,864 : 310,464 = 310,464 : x
  2. Step 2: Convert to fraction form
    132,864/310,464 = 310,464/x
  3. Step 3: Cross multiply
    132,864x = 310,464 × 310,464
  4. Step 4: Simplify right side
    132,864x = 96,387,895,296
  5. Step 5: Solve for x
    x = 96,387,895,296/132,864
  6. Step 6: Final answer
    x = 725,462.84

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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.