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Finding the Third Proportional to 180,882 and 266,098

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Solution

The third proportional to 180,882 and 266,098 is: 391,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,882 : 266,098 = 266,098 : x
  2. Step 2: Convert to fraction form
    180,882/266,098 = 266,098/x
  3. Step 3: Cross multiply
    180,882x = 266,098 × 266,098
  4. Step 4: Simplify right side
    180,882x = 70,808,145,604
  5. Step 5: Solve for x
    x = 70,808,145,604/180,882
  6. Step 6: Final answer
    x = 391,460.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.