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Finding the Third Proportional to 159,144.75 and 248,356.13

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Solution

The third proportional to 159,144.75 and 248,356.13 is: 387,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144.75 : 248,356.13 = 248,356.13 : x
  2. Step 2: Convert to fraction form
    159,144.75/248,356.13 = 248,356.13/x
  3. Step 3: Cross multiply
    159,144.75x = 248,356.13 × 248,356.13
  4. Step 4: Simplify right side
    159,144.75x = 61,680,764,825.02
  5. Step 5: Solve for x
    x = 61,680,764,825.02/159,144.75
  6. Step 6: Final answer
    x = 387,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.