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Finding the Third Proportional to 110,520 and 240,600

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Solution

The third proportional to 110,520 and 240,600 is: 523,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,520 : 240,600 = 240,600 : x
  2. Step 2: Convert to fraction form
    110,520/240,600 = 240,600/x
  3. Step 3: Cross multiply
    110,520x = 240,600 × 240,600
  4. Step 4: Simplify right side
    110,520x = 57,888,360,000
  5. Step 5: Solve for x
    x = 57,888,360,000/110,520
  6. Step 6: Final answer
    x = 523,781.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.