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Finding the Third Proportional to 111,715 and 240,925

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Solution

The third proportional to 111,715 and 240,925 is: 519,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,715 : 240,925 = 240,925 : x
  2. Step 2: Convert to fraction form
    111,715/240,925 = 240,925/x
  3. Step 3: Cross multiply
    111,715x = 240,925 × 240,925
  4. Step 4: Simplify right side
    111,715x = 58,044,855,625
  5. Step 5: Solve for x
    x = 58,044,855,625/111,715
  6. Step 6: Final answer
    x = 519,579.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.