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Finding the Third Proportional to 157,630 and 345,884

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Solution

The third proportional to 157,630 and 345,884 is: 758,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,630 : 345,884 = 345,884 : x
  2. Step 2: Convert to fraction form
    157,630/345,884 = 345,884/x
  3. Step 3: Cross multiply
    157,630x = 345,884 × 345,884
  4. Step 4: Simplify right side
    157,630x = 119,635,741,456
  5. Step 5: Solve for x
    x = 119,635,741,456/157,630
  6. Step 6: Final answer
    x = 758,965.56

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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.