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Finding the Third Proportional to 227,762 and 347,151

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Solution

The third proportional to 227,762 and 347,151 is: 529,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,762 : 347,151 = 347,151 : x
  2. Step 2: Convert to fraction form
    227,762/347,151 = 347,151/x
  3. Step 3: Cross multiply
    227,762x = 347,151 × 347,151
  4. Step 4: Simplify right side
    227,762x = 120,513,816,801
  5. Step 5: Solve for x
    x = 120,513,816,801/227,762
  6. Step 6: Final answer
    x = 529,121.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.