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Finding the Third Proportional to 167,218 and 357,114

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Solution

The third proportional to 167,218 and 357,114 is: 762,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,218 : 357,114 = 357,114 : x
  2. Step 2: Convert to fraction form
    167,218/357,114 = 357,114/x
  3. Step 3: Cross multiply
    167,218x = 357,114 × 357,114
  4. Step 4: Simplify right side
    167,218x = 127,530,408,996
  5. Step 5: Solve for x
    x = 127,530,408,996/167,218
  6. Step 6: Final answer
    x = 762,659.58

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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.