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Finding the Third Proportional to 83,179 and 176,740

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Solution

The third proportional to 83,179 and 176,740 is: 375,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,179 : 176,740 = 176,740 : x
  2. Step 2: Convert to fraction form
    83,179/176,740 = 176,740/x
  3. Step 3: Cross multiply
    83,179x = 176,740 × 176,740
  4. Step 4: Simplify right side
    83,179x = 31,237,027,600
  5. Step 5: Solve for x
    x = 31,237,027,600/83,179
  6. Step 6: Final answer
    x = 375,539.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.