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Finding the Third Proportional to 167,216 and 357,120

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Solution

The third proportional to 167,216 and 357,120 is: 762,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,216 : 357,120 = 357,120 : x
  2. Step 2: Convert to fraction form
    167,216/357,120 = 357,120/x
  3. Step 3: Cross multiply
    167,216x = 357,120 × 357,120
  4. Step 4: Simplify right side
    167,216x = 127,534,694,400
  5. Step 5: Solve for x
    x = 127,534,694,400/167,216
  6. Step 6: Final answer
    x = 762,694.33

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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.