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Finding the Third Proportional to 157,086 and 235,116

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Solution

The third proportional to 157,086 and 235,116 is: 351,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086 : 235,116 = 235,116 : x
  2. Step 2: Convert to fraction form
    157,086/235,116 = 235,116/x
  3. Step 3: Cross multiply
    157,086x = 235,116 × 235,116
  4. Step 4: Simplify right side
    157,086x = 55,279,533,456
  5. Step 5: Solve for x
    x = 55,279,533,456/157,086
  6. Step 6: Final answer
    x = 351,906.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.