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Finding the Third Proportional to 85,098 and 181,780

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Solution

The third proportional to 85,098 and 181,780 is: 388,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098 : 181,780 = 181,780 : x
  2. Step 2: Convert to fraction form
    85,098/181,780 = 181,780/x
  3. Step 3: Cross multiply
    85,098x = 181,780 × 181,780
  4. Step 4: Simplify right side
    85,098x = 33,043,968,400
  5. Step 5: Solve for x
    x = 33,043,968,400/85,098
  6. Step 6: Final answer
    x = 388,304.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.