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Finding the Third Proportional to 157,241 and 241,979

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Solution

The third proportional to 157,241 and 241,979 is: 372,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,241 : 241,979 = 241,979 : x
  2. Step 2: Convert to fraction form
    157,241/241,979 = 241,979/x
  3. Step 3: Cross multiply
    157,241x = 241,979 × 241,979
  4. Step 4: Simplify right side
    157,241x = 58,553,836,441
  5. Step 5: Solve for x
    x = 58,553,836,441/157,241
  6. Step 6: Final answer
    x = 372,382.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.