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Finding the Third Proportional to 161,805 and 253,269

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Solution

The third proportional to 161,805 and 253,269 is: 396,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,805 : 253,269 = 253,269 : x
  2. Step 2: Convert to fraction form
    161,805/253,269 = 253,269/x
  3. Step 3: Cross multiply
    161,805x = 253,269 × 253,269
  4. Step 4: Simplify right side
    161,805x = 64,145,186,361
  5. Step 5: Solve for x
    x = 64,145,186,361/161,805
  6. Step 6: Final answer
    x = 396,435.13

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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.