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Finding the Third Proportional to 161,874 and 253,370

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Solution

The third proportional to 161,874 and 253,370 is: 396,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,874 : 253,370 = 253,370 : x
  2. Step 2: Convert to fraction form
    161,874/253,370 = 253,370/x
  3. Step 3: Cross multiply
    161,874x = 253,370 × 253,370
  4. Step 4: Simplify right side
    161,874x = 64,196,356,900
  5. Step 5: Solve for x
    x = 64,196,356,900/161,874
  6. Step 6: Final answer
    x = 396,582.26

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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.