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Finding the Third Proportional to 71,444 and 156,988

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Solution

The third proportional to 71,444 and 156,988 is: 344,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,444 : 156,988 = 156,988 : x
  2. Step 2: Convert to fraction form
    71,444/156,988 = 156,988/x
  3. Step 3: Cross multiply
    71,444x = 156,988 × 156,988
  4. Step 4: Simplify right side
    71,444x = 24,645,232,144
  5. Step 5: Solve for x
    x = 24,645,232,144/71,444
  6. Step 6: Final answer
    x = 344,958.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.