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Finding the Third Proportional to 182,401.50 and 291,387.56

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Solution

The third proportional to 182,401.50 and 291,387.56 is: 465,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,401.50 : 291,387.56 = 291,387.56 : x
  2. Step 2: Convert to fraction form
    182,401.50/291,387.56 = 291,387.56/x
  3. Step 3: Cross multiply
    182,401.50x = 291,387.56 × 291,387.56
  4. Step 4: Simplify right side
    182,401.50x = 84,906,711,579.69
  5. Step 5: Solve for x
    x = 84,906,711,579.69/182,401.50
  6. Step 6: Final answer
    x = 465,493.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.