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Finding the Third Proportional to 157,857 and 240,725.25

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Solution

The third proportional to 157,857 and 240,725.25 is: 367,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857 : 240,725.25 = 240,725.25 : x
  2. Step 2: Convert to fraction form
    157,857/240,725.25 = 240,725.25/x
  3. Step 3: Cross multiply
    157,857x = 240,725.25 × 240,725.25
  4. Step 4: Simplify right side
    157,857x = 57,948,645,987.56
  5. Step 5: Solve for x
    x = 57,948,645,987.56/157,857
  6. Step 6: Final answer
    x = 367,095.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.