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Finding the Third Proportional to 159,540 and 247,726

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Solution

The third proportional to 159,540 and 247,726 is: 384,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,540 : 247,726 = 247,726 : x
  2. Step 2: Convert to fraction form
    159,540/247,726 = 247,726/x
  3. Step 3: Cross multiply
    159,540x = 247,726 × 247,726
  4. Step 4: Simplify right side
    159,540x = 61,368,171,076
  5. Step 5: Solve for x
    x = 61,368,171,076/159,540
  6. Step 6: Final answer
    x = 384,656.96

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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.