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Finding the Third Proportional to 76,184 and 165,472

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Solution

The third proportional to 76,184 and 165,472 is: 359,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,184 : 165,472 = 165,472 : x
  2. Step 2: Convert to fraction form
    76,184/165,472 = 165,472/x
  3. Step 3: Cross multiply
    76,184x = 165,472 × 165,472
  4. Step 4: Simplify right side
    76,184x = 27,380,982,784
  5. Step 5: Solve for x
    x = 27,380,982,784/76,184
  6. Step 6: Final answer
    x = 359,405.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.