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Finding the Third Proportional to 240,524 and 373,881

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Solution

The third proportional to 240,524 and 373,881 is: 581,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,524 : 373,881 = 373,881 : x
  2. Step 2: Convert to fraction form
    240,524/373,881 = 373,881/x
  3. Step 3: Cross multiply
    240,524x = 373,881 × 373,881
  4. Step 4: Simplify right side
    240,524x = 139,787,002,161
  5. Step 5: Solve for x
    x = 139,787,002,161/240,524
  6. Step 6: Final answer
    x = 581,176.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.