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Finding the Third Proportional to 169,724.53 and 353,400.47

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Solution

The third proportional to 169,724.53 and 353,400.47 is: 735,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,724.53 : 353,400.47 = 353,400.47 : x
  2. Step 2: Convert to fraction form
    169,724.53/353,400.47 = 353,400.47/x
  3. Step 3: Cross multiply
    169,724.53x = 353,400.47 × 353,400.47
  4. Step 4: Simplify right side
    169,724.53x = 124,891,891,312.72
  5. Step 5: Solve for x
    x = 124,891,891,312.72/169,724.53
  6. Step 6: Final answer
    x = 735,850.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.