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Finding the Third Proportional to 157,041 and 345,186

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Solution

The third proportional to 157,041 and 345,186 is: 758,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,041 : 345,186 = 345,186 : x
  2. Step 2: Convert to fraction form
    157,041/345,186 = 345,186/x
  3. Step 3: Cross multiply
    157,041x = 345,186 × 345,186
  4. Step 4: Simplify right side
    157,041x = 119,153,374,596
  5. Step 5: Solve for x
    x = 119,153,374,596/157,041
  6. Step 6: Final answer
    x = 758,740.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.