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Finding the Third Proportional to 151,307 and 227,613

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Solution

The third proportional to 151,307 and 227,613 is: 342,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,307 : 227,613 = 227,613 : x
  2. Step 2: Convert to fraction form
    151,307/227,613 = 227,613/x
  3. Step 3: Cross multiply
    151,307x = 227,613 × 227,613
  4. Step 4: Simplify right side
    151,307x = 51,807,677,769
  5. Step 5: Solve for x
    x = 51,807,677,769/151,307
  6. Step 6: Final answer
    x = 342,401.06

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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.