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Finding the Third Proportional to 181,064.25 and 273,924

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Solution

The third proportional to 181,064.25 and 273,924 is: 414,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,064.25 : 273,924 = 273,924 : x
  2. Step 2: Convert to fraction form
    181,064.25/273,924 = 273,924/x
  3. Step 3: Cross multiply
    181,064.25x = 273,924 × 273,924
  4. Step 4: Simplify right side
    181,064.25x = 75,034,357,776
  5. Step 5: Solve for x
    x = 75,034,357,776/181,064.25
  6. Step 6: Final answer
    x = 414,407.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.