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Finding the Third Proportional to 161,782 and 253,232

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Solution

The third proportional to 161,782 and 253,232 is: 396,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,782 : 253,232 = 253,232 : x
  2. Step 2: Convert to fraction form
    161,782/253,232 = 253,232/x
  3. Step 3: Cross multiply
    161,782x = 253,232 × 253,232
  4. Step 4: Simplify right side
    161,782x = 64,126,445,824
  5. Step 5: Solve for x
    x = 64,126,445,824/161,782
  6. Step 6: Final answer
    x = 396,375.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.