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Finding the Third Proportional to 161,329 and 250,622

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Solution

The third proportional to 161,329 and 250,622 is: 389,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,329 : 250,622 = 250,622 : x
  2. Step 2: Convert to fraction form
    161,329/250,622 = 250,622/x
  3. Step 3: Cross multiply
    161,329x = 250,622 × 250,622
  4. Step 4: Simplify right side
    161,329x = 62,811,386,884
  5. Step 5: Solve for x
    x = 62,811,386,884/161,329
  6. Step 6: Final answer
    x = 389,337.24

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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.