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Finding the Third Proportional to 83,292 and 183,170

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Solution

The third proportional to 83,292 and 183,170 is: 402,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292 : 183,170 = 183,170 : x
  2. Step 2: Convert to fraction form
    83,292/183,170 = 183,170/x
  3. Step 3: Cross multiply
    83,292x = 183,170 × 183,170
  4. Step 4: Simplify right side
    83,292x = 33,551,248,900
  5. Step 5: Solve for x
    x = 33,551,248,900/83,292
  6. Step 6: Final answer
    x = 402,814.78

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