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Finding the Third Proportional to 157,280 and 250,168

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Solution

The third proportional to 157,280 and 250,168 is: 397,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280 : 250,168 = 250,168 : x
  2. Step 2: Convert to fraction form
    157,280/250,168 = 250,168/x
  3. Step 3: Cross multiply
    157,280x = 250,168 × 250,168
  4. Step 4: Simplify right side
    157,280x = 62,584,028,224
  5. Step 5: Solve for x
    x = 62,584,028,224/157,280
  6. Step 6: Final answer
    x = 397,914.73

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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.