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Finding the Third Proportional to 159,440 and 349,981

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Solution

The third proportional to 159,440 and 349,981 is: 768,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,440 : 349,981 = 349,981 : x
  2. Step 2: Convert to fraction form
    159,440/349,981 = 349,981/x
  3. Step 3: Cross multiply
    159,440x = 349,981 × 349,981
  4. Step 4: Simplify right side
    159,440x = 122,486,700,361
  5. Step 5: Solve for x
    x = 122,486,700,361/159,440
  6. Step 6: Final answer
    x = 768,230.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.