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Finding the Third Proportional to 111,366 and 240,246

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Solution

The third proportional to 111,366 and 240,246 is: 518,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,366 : 240,246 = 240,246 : x
  2. Step 2: Convert to fraction form
    111,366/240,246 = 240,246/x
  3. Step 3: Cross multiply
    111,366x = 240,246 × 240,246
  4. Step 4: Simplify right side
    111,366x = 57,718,140,516
  5. Step 5: Solve for x
    x = 57,718,140,516/111,366
  6. Step 6: Final answer
    x = 518,274.34

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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.