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Finding the Third Proportional to 159,176 and 248,448

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Solution

The third proportional to 159,176 and 248,448 is: 387,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,176 : 248,448 = 248,448 : x
  2. Step 2: Convert to fraction form
    159,176/248,448 = 248,448/x
  3. Step 3: Cross multiply
    159,176x = 248,448 × 248,448
  4. Step 4: Simplify right side
    159,176x = 61,726,408,704
  5. Step 5: Solve for x
    x = 61,726,408,704/159,176
  6. Step 6: Final answer
    x = 387,787.16

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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.