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Finding the Third Proportional to 272,758 and 366,902

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Solution

The third proportional to 272,758 and 366,902 is: 493,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,758 : 366,902 = 366,902 : x
  2. Step 2: Convert to fraction form
    272,758/366,902 = 366,902/x
  3. Step 3: Cross multiply
    272,758x = 366,902 × 366,902
  4. Step 4: Simplify right side
    272,758x = 134,617,077,604
  5. Step 5: Solve for x
    x = 134,617,077,604/272,758
  6. Step 6: Final answer
    x = 493,540.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.