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Finding the Third Proportional to 267,564 and 366,900

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Solution

The third proportional to 267,564 and 366,900 is: 503,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564 : 366,900 = 366,900 : x
  2. Step 2: Convert to fraction form
    267,564/366,900 = 366,900/x
  3. Step 3: Cross multiply
    267,564x = 366,900 × 366,900
  4. Step 4: Simplify right side
    267,564x = 134,615,610,000
  5. Step 5: Solve for x
    x = 134,615,610,000/267,564
  6. Step 6: Final answer
    x = 503,115.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.