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Finding the Third Proportional to 111,468 and 241,115

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Solution

The third proportional to 111,468 and 241,115 is: 521,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,468 : 241,115 = 241,115 : x
  2. Step 2: Convert to fraction form
    111,468/241,115 = 241,115/x
  3. Step 3: Cross multiply
    111,468x = 241,115 × 241,115
  4. Step 4: Simplify right side
    111,468x = 58,136,443,225
  5. Step 5: Solve for x
    x = 58,136,443,225/111,468
  6. Step 6: Final answer
    x = 521,552.76

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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.