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Finding the Third Proportional to 109,516 and 240,416

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Solution

The third proportional to 109,516 and 240,416 is: 527,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,516 : 240,416 = 240,416 : x
  2. Step 2: Convert to fraction form
    109,516/240,416 = 240,416/x
  3. Step 3: Cross multiply
    109,516x = 240,416 × 240,416
  4. Step 4: Simplify right side
    109,516x = 57,799,853,056
  5. Step 5: Solve for x
    x = 57,799,853,056/109,516
  6. Step 6: Final answer
    x = 527,775.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.