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Finding the Third Proportional to 157,068 and 250,170

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Solution

The third proportional to 157,068 and 250,170 is: 398,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,068 : 250,170 = 250,170 : x
  2. Step 2: Convert to fraction form
    157,068/250,170 = 250,170/x
  3. Step 3: Cross multiply
    157,068x = 250,170 × 250,170
  4. Step 4: Simplify right side
    157,068x = 62,585,028,900
  5. Step 5: Solve for x
    x = 62,585,028,900/157,068
  6. Step 6: Final answer
    x = 398,458.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.