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Finding the Third Proportional to 227,997 and 342,117

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Solution

The third proportional to 227,997 and 342,117 is: 513,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,997 : 342,117 = 342,117 : x
  2. Step 2: Convert to fraction form
    227,997/342,117 = 342,117/x
  3. Step 3: Cross multiply
    227,997x = 342,117 × 342,117
  4. Step 4: Simplify right side
    227,997x = 117,044,041,689
  5. Step 5: Solve for x
    x = 117,044,041,689/227,997
  6. Step 6: Final answer
    x = 513,357.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.