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Finding the Third Proportional to 167,216 and 357,110

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Solution

The third proportional to 167,216 and 357,110 is: 762,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,216 : 357,110 = 357,110 : x
  2. Step 2: Convert to fraction form
    167,216/357,110 = 357,110/x
  3. Step 3: Cross multiply
    167,216x = 357,110 × 357,110
  4. Step 4: Simplify right side
    167,216x = 127,527,552,100
  5. Step 5: Solve for x
    x = 127,527,552,100/167,216
  6. Step 6: Final answer
    x = 762,651.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.