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Finding the Third Proportional to 76,467 and 168,486

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Solution

The third proportional to 76,467 and 168,486 is: 371,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467 : 168,486 = 168,486 : x
  2. Step 2: Convert to fraction form
    76,467/168,486 = 168,486/x
  3. Step 3: Cross multiply
    76,467x = 168,486 × 168,486
  4. Step 4: Simplify right side
    76,467x = 28,387,532,196
  5. Step 5: Solve for x
    x = 28,387,532,196/76,467
  6. Step 6: Final answer
    x = 371,238.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.