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Finding the Third Proportional to 111,464 and 240,343

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Solution

The third proportional to 111,464 and 240,343 is: 518,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,464 : 240,343 = 240,343 : x
  2. Step 2: Convert to fraction form
    111,464/240,343 = 240,343/x
  3. Step 3: Cross multiply
    111,464x = 240,343 × 240,343
  4. Step 4: Simplify right side
    111,464x = 57,764,757,649
  5. Step 5: Solve for x
    x = 57,764,757,649/111,464
  6. Step 6: Final answer
    x = 518,236.90

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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.