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Finding the Third Proportional to 161,720 and 231,572

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Solution

The third proportional to 161,720 and 231,572 is: 331,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,720 : 231,572 = 231,572 : x
  2. Step 2: Convert to fraction form
    161,720/231,572 = 231,572/x
  3. Step 3: Cross multiply
    161,720x = 231,572 × 231,572
  4. Step 4: Simplify right side
    161,720x = 53,625,591,184
  5. Step 5: Solve for x
    x = 53,625,591,184/161,720
  6. Step 6: Final answer
    x = 331,595.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.