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Finding the Third Proportional to 157,872 and 338,208

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Solution

The third proportional to 157,872 and 338,208 is: 724,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,872 : 338,208 = 338,208 : x
  2. Step 2: Convert to fraction form
    157,872/338,208 = 338,208/x
  3. Step 3: Cross multiply
    157,872x = 338,208 × 338,208
  4. Step 4: Simplify right side
    157,872x = 114,384,651,264
  5. Step 5: Solve for x
    x = 114,384,651,264/157,872
  6. Step 6: Final answer
    x = 724,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.