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Finding the Third Proportional to 240,552 and 341,924

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Solution

The third proportional to 240,552 and 341,924 is: 486,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,552 : 341,924 = 341,924 : x
  2. Step 2: Convert to fraction form
    240,552/341,924 = 341,924/x
  3. Step 3: Cross multiply
    240,552x = 341,924 × 341,924
  4. Step 4: Simplify right side
    240,552x = 116,912,021,776
  5. Step 5: Solve for x
    x = 116,912,021,776/240,552
  6. Step 6: Final answer
    x = 486,015.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.