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Finding the Third Proportional to 123,366 and 264,246

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Solution

The third proportional to 123,366 and 264,246 is: 566,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,366 : 264,246 = 264,246 : x
  2. Step 2: Convert to fraction form
    123,366/264,246 = 264,246/x
  3. Step 3: Cross multiply
    123,366x = 264,246 × 264,246
  4. Step 4: Simplify right side
    123,366x = 69,825,948,516
  5. Step 5: Solve for x
    x = 69,825,948,516/123,366
  6. Step 6: Final answer
    x = 566,006.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.