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Finding the Third Proportional to 162,042 and 253,617

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Solution

The third proportional to 162,042 and 253,617 is: 396,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,042 : 253,617 = 253,617 : x
  2. Step 2: Convert to fraction form
    162,042/253,617 = 253,617/x
  3. Step 3: Cross multiply
    162,042x = 253,617 × 253,617
  4. Step 4: Simplify right side
    162,042x = 64,321,582,689
  5. Step 5: Solve for x
    x = 64,321,582,689/162,042
  6. Step 6: Final answer
    x = 396,943.90

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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.