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Finding the Third Proportional to 169,526.25 and 256,474.13

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Solution

The third proportional to 169,526.25 and 256,474.13 is: 388,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,526.25 : 256,474.13 = 256,474.13 : x
  2. Step 2: Convert to fraction form
    169,526.25/256,474.13 = 256,474.13/x
  3. Step 3: Cross multiply
    169,526.25x = 256,474.13 × 256,474.13
  4. Step 4: Simplify right side
    169,526.25x = 65,778,976,794.52
  5. Step 5: Solve for x
    x = 65,778,976,794.52/169,526.25
  6. Step 6: Final answer
    x = 388,016.47

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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.