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Finding the Third Proportional to 162,934 and 352,111

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Solution

The third proportional to 162,934 and 352,111 is: 760,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,934 : 352,111 = 352,111 : x
  2. Step 2: Convert to fraction form
    162,934/352,111 = 352,111/x
  3. Step 3: Cross multiply
    162,934x = 352,111 × 352,111
  4. Step 4: Simplify right side
    162,934x = 123,982,156,321
  5. Step 5: Solve for x
    x = 123,982,156,321/162,934
  6. Step 6: Final answer
    x = 760,934.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.