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Finding the Third Proportional to 159,538 and 247,000

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Solution

The third proportional to 159,538 and 247,000 is: 382,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,538 : 247,000 = 247,000 : x
  2. Step 2: Convert to fraction form
    159,538/247,000 = 247,000/x
  3. Step 3: Cross multiply
    159,538x = 247,000 × 247,000
  4. Step 4: Simplify right side
    159,538x = 61,009,000,000
  5. Step 5: Solve for x
    x = 61,009,000,000/159,538
  6. Step 6: Final answer
    x = 382,410.46

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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.