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Finding the Third Proportional to 161,327 and 250,619

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Solution

The third proportional to 161,327 and 250,619 is: 389,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,327 : 250,619 = 250,619 : x
  2. Step 2: Convert to fraction form
    161,327/250,619 = 250,619/x
  3. Step 3: Cross multiply
    161,327x = 250,619 × 250,619
  4. Step 4: Simplify right side
    161,327x = 62,809,883,161
  5. Step 5: Solve for x
    x = 62,809,883,161/161,327
  6. Step 6: Final answer
    x = 389,332.74

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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.