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Finding the Third Proportional to 98,438 and 152,718

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Solution

The third proportional to 98,438 and 152,718 is: 236,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,438 : 152,718 = 152,718 : x
  2. Step 2: Convert to fraction form
    98,438/152,718 = 152,718/x
  3. Step 3: Cross multiply
    98,438x = 152,718 × 152,718
  4. Step 4: Simplify right side
    98,438x = 23,322,787,524
  5. Step 5: Solve for x
    x = 23,322,787,524/98,438
  6. Step 6: Final answer
    x = 236,928.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.