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Finding the Third Proportional to 157,334.70 and 241,975.20

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Solution

The third proportional to 157,334.70 and 241,975.20 is: 372,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,334.70 : 241,975.20 = 241,975.20 : x
  2. Step 2: Convert to fraction form
    157,334.70/241,975.20 = 241,975.20/x
  3. Step 3: Cross multiply
    157,334.70x = 241,975.20 × 241,975.20
  4. Step 4: Simplify right side
    157,334.70x = 58,551,995,146.52
  5. Step 5: Solve for x
    x = 58,551,995,146.52/157,334.70
  6. Step 6: Final answer
    x = 372,149.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.