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Finding the Third Proportional to 162,892 and 353,636

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Solution

The third proportional to 162,892 and 353,636 is: 767,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,892 : 353,636 = 353,636 : x
  2. Step 2: Convert to fraction form
    162,892/353,636 = 353,636/x
  3. Step 3: Cross multiply
    162,892x = 353,636 × 353,636
  4. Step 4: Simplify right side
    162,892x = 125,058,420,496
  5. Step 5: Solve for x
    x = 125,058,420,496/162,892
  6. Step 6: Final answer
    x = 767,738.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.