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Finding the Third Proportional to 157,650.75 and 345,961.13

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Solution

The third proportional to 157,650.75 and 345,961.13 is: 759,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,650.75 : 345,961.13 = 345,961.13 : x
  2. Step 2: Convert to fraction form
    157,650.75/345,961.13 = 345,961.13/x
  3. Step 3: Cross multiply
    157,650.75x = 345,961.13 × 345,961.13
  4. Step 4: Simplify right side
    157,650.75x = 119,689,100,011.27
  5. Step 5: Solve for x
    x = 119,689,100,011.27/157,650.75
  6. Step 6: Final answer
    x = 759,204.13

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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.