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Finding the Third Proportional to 160,567 and 250,041

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Solution

The third proportional to 160,567 and 250,041 is: 389,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,567 : 250,041 = 250,041 : x
  2. Step 2: Convert to fraction form
    160,567/250,041 = 250,041/x
  3. Step 3: Cross multiply
    160,567x = 250,041 × 250,041
  4. Step 4: Simplify right side
    160,567x = 62,520,501,681
  5. Step 5: Solve for x
    x = 62,520,501,681/160,567
  6. Step 6: Final answer
    x = 389,373.29

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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.