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Finding the Third Proportional to 132,394 and 283,740

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Solution

The third proportional to 132,394 and 283,740 is: 608,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,394 : 283,740 = 283,740 : x
  2. Step 2: Convert to fraction form
    132,394/283,740 = 283,740/x
  3. Step 3: Cross multiply
    132,394x = 283,740 × 283,740
  4. Step 4: Simplify right side
    132,394x = 80,508,387,600
  5. Step 5: Solve for x
    x = 80,508,387,600/132,394
  6. Step 6: Final answer
    x = 608,096.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.