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Finding the Third Proportional to 157,713 and 345,959.25

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Solution

The third proportional to 157,713 and 345,959.25 is: 758,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,713 : 345,959.25 = 345,959.25 : x
  2. Step 2: Convert to fraction form
    157,713/345,959.25 = 345,959.25/x
  3. Step 3: Cross multiply
    157,713x = 345,959.25 × 345,959.25
  4. Step 4: Simplify right side
    157,713x = 119,687,802,660.56
  5. Step 5: Solve for x
    x = 119,687,802,660.56/157,713
  6. Step 6: Final answer
    x = 758,896.24

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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.