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Finding the Third Proportional to 157,066 and 250,165

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Solution

The third proportional to 157,066 and 250,165 is: 398,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,066 : 250,165 = 250,165 : x
  2. Step 2: Convert to fraction form
    157,066/250,165 = 250,165/x
  3. Step 3: Cross multiply
    157,066x = 250,165 × 250,165
  4. Step 4: Simplify right side
    157,066x = 62,582,527,225
  5. Step 5: Solve for x
    x = 62,582,527,225/157,066
  6. Step 6: Final answer
    x = 398,447.32

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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.