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Finding the Third Proportional to 149,711 and 320,166

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Solution

The third proportional to 149,711 and 320,166 is: 684,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,711 : 320,166 = 320,166 : x
  2. Step 2: Convert to fraction form
    149,711/320,166 = 320,166/x
  3. Step 3: Cross multiply
    149,711x = 320,166 × 320,166
  4. Step 4: Simplify right side
    149,711x = 102,506,267,556
  5. Step 5: Solve for x
    x = 102,506,267,556/149,711
  6. Step 6: Final answer
    x = 684,694.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.