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Finding the Third Proportional to 157,502 and 345,625

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Solution

The third proportional to 157,502 and 345,625 is: 758,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,502 : 345,625 = 345,625 : x
  2. Step 2: Convert to fraction form
    157,502/345,625 = 345,625/x
  3. Step 3: Cross multiply
    157,502x = 345,625 × 345,625
  4. Step 4: Simplify right side
    157,502x = 119,456,640,625
  5. Step 5: Solve for x
    x = 119,456,640,625/157,502
  6. Step 6: Final answer
    x = 758,445.23

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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.