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Finding the Third Proportional to 157,576 and 345,766

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Solution

The third proportional to 157,576 and 345,766 is: 758,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,576 : 345,766 = 345,766 : x
  2. Step 2: Convert to fraction form
    157,576/345,766 = 345,766/x
  3. Step 3: Cross multiply
    157,576x = 345,766 × 345,766
  4. Step 4: Simplify right side
    157,576x = 119,554,126,756
  5. Step 5: Solve for x
    x = 119,554,126,756/157,576
  6. Step 6: Final answer
    x = 758,707.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.