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Finding the Third Proportional to 227,042 and 343,731

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Solution

The third proportional to 227,042 and 343,731 is: 520,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,042 : 343,731 = 343,731 : x
  2. Step 2: Convert to fraction form
    227,042/343,731 = 343,731/x
  3. Step 3: Cross multiply
    227,042x = 343,731 × 343,731
  4. Step 4: Simplify right side
    227,042x = 118,151,000,361
  5. Step 5: Solve for x
    x = 118,151,000,361/227,042
  6. Step 6: Final answer
    x = 520,392.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.