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Finding the Third Proportional to 181,539 and 266,475.75

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Solution

The third proportional to 181,539 and 266,475.75 is: 391,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 266,475.75 = 266,475.75 : x
  2. Step 2: Convert to fraction form
    181,539/266,475.75 = 266,475.75/x
  3. Step 3: Cross multiply
    181,539x = 266,475.75 × 266,475.75
  4. Step 4: Simplify right side
    181,539x = 71,009,325,338.06
  5. Step 5: Solve for x
    x = 71,009,325,338.06/181,539
  6. Step 6: Final answer
    x = 391,151.90

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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.