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Finding the Third Proportional to 181,730 and 275,875

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Solution

The third proportional to 181,730 and 275,875 is: 418,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,730 : 275,875 = 275,875 : x
  2. Step 2: Convert to fraction form
    181,730/275,875 = 275,875/x
  3. Step 3: Cross multiply
    181,730x = 275,875 × 275,875
  4. Step 4: Simplify right side
    181,730x = 76,107,015,625
  5. Step 5: Solve for x
    x = 76,107,015,625/181,730
  6. Step 6: Final answer
    x = 418,791.70

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