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Finding the Third Proportional to 182,001.50 and 275,548

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Solution

The third proportional to 182,001.50 and 275,548 is: 417,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,001.50 : 275,548 = 275,548 : x
  2. Step 2: Convert to fraction form
    182,001.50/275,548 = 275,548/x
  3. Step 3: Cross multiply
    182,001.50x = 275,548 × 275,548
  4. Step 4: Simplify right side
    182,001.50x = 75,926,700,304
  5. Step 5: Solve for x
    x = 75,926,700,304/182,001.50
  6. Step 6: Final answer
    x = 417,176.23

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