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Finding the Third Proportional to 147,942 and 241,548.75

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Solution

The third proportional to 147,942 and 241,548.75 is: 394,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,942 : 241,548.75 = 241,548.75 : x
  2. Step 2: Convert to fraction form
    147,942/241,548.75 = 241,548.75/x
  3. Step 3: Cross multiply
    147,942x = 241,548.75 × 241,548.75
  4. Step 4: Simplify right side
    147,942x = 58,345,798,626.56
  5. Step 5: Solve for x
    x = 58,345,798,626.56/147,942
  6. Step 6: Final answer
    x = 394,382.92

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.