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Finding the Third Proportional to 181,101 and 274,659

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Solution

The third proportional to 181,101 and 274,659 is: 416,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,101 : 274,659 = 274,659 : x
  2. Step 2: Convert to fraction form
    181,101/274,659 = 274,659/x
  3. Step 3: Cross multiply
    181,101x = 274,659 × 274,659
  4. Step 4: Simplify right side
    181,101x = 75,437,566,281
  5. Step 5: Solve for x
    x = 75,437,566,281/181,101
  6. Step 6: Final answer
    x = 416,549.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.