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Finding the Third Proportional to 227,680 and 365,820

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Solution

The third proportional to 227,680 and 365,820 is: 587,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,680 : 365,820 = 365,820 : x
  2. Step 2: Convert to fraction form
    227,680/365,820 = 365,820/x
  3. Step 3: Cross multiply
    227,680x = 365,820 × 365,820
  4. Step 4: Simplify right side
    227,680x = 133,824,272,400
  5. Step 5: Solve for x
    x = 133,824,272,400/227,680
  6. Step 6: Final answer
    x = 587,773.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.