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Finding the Third Proportional to 83,508 and 175,221

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Solution

The third proportional to 83,508 and 175,221 is: 367,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,508 : 175,221 = 175,221 : x
  2. Step 2: Convert to fraction form
    83,508/175,221 = 175,221/x
  3. Step 3: Cross multiply
    83,508x = 175,221 × 175,221
  4. Step 4: Simplify right side
    83,508x = 30,702,398,841
  5. Step 5: Solve for x
    x = 30,702,398,841/83,508
  6. Step 6: Final answer
    x = 367,658.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.