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Finding the Third Proportional to 181,659.75 and 283,526.25

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Solution

The third proportional to 181,659.75 and 283,526.25 is: 442,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,659.75 : 283,526.25 = 283,526.25 : x
  2. Step 2: Convert to fraction form
    181,659.75/283,526.25 = 283,526.25/x
  3. Step 3: Cross multiply
    181,659.75x = 283,526.25 × 283,526.25
  4. Step 4: Simplify right side
    181,659.75x = 80,387,134,439.06
  5. Step 5: Solve for x
    x = 80,387,134,439.06/181,659.75
  6. Step 6: Final answer
    x = 442,514.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.