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Finding the Third Proportional to 147,694 and 323,982

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Solution

The third proportional to 147,694 and 323,982 is: 710,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,694 : 323,982 = 323,982 : x
  2. Step 2: Convert to fraction form
    147,694/323,982 = 323,982/x
  3. Step 3: Cross multiply
    147,694x = 323,982 × 323,982
  4. Step 4: Simplify right side
    147,694x = 104,964,336,324
  5. Step 5: Solve for x
    x = 104,964,336,324/147,694
  6. Step 6: Final answer
    x = 710,687.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.