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Finding the Third Proportional to 169,922 and 237,711

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Solution

The third proportional to 169,922 and 237,711 is: 332,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,922 : 237,711 = 237,711 : x
  2. Step 2: Convert to fraction form
    169,922/237,711 = 237,711/x
  3. Step 3: Cross multiply
    169,922x = 237,711 × 237,711
  4. Step 4: Simplify right side
    169,922x = 56,506,519,521
  5. Step 5: Solve for x
    x = 56,506,519,521/169,922
  6. Step 6: Final answer
    x = 332,543.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.