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Finding the Third Proportional to 157,229.44 and 241,961.63

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Solution

The third proportional to 157,229.44 and 241,961.63 is: 372,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,229.44 : 241,961.63 = 241,961.63 : x
  2. Step 2: Convert to fraction form
    157,229.44/241,961.63 = 241,961.63/x
  3. Step 3: Cross multiply
    157,229.44x = 241,961.63 × 241,961.63
  4. Step 4: Simplify right side
    157,229.44x = 58,545,427,972.64
  5. Step 5: Solve for x
    x = 58,545,427,972.64/157,229.44
  6. Step 6: Final answer
    x = 372,356.66

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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.