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Finding the Third Proportional to 167,221 and 357,122

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Solution

The third proportional to 167,221 and 357,122 is: 762,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,221 : 357,122 = 357,122 : x
  2. Step 2: Convert to fraction form
    167,221/357,122 = 357,122/x
  3. Step 3: Cross multiply
    167,221x = 357,122 × 357,122
  4. Step 4: Simplify right side
    167,221x = 127,536,122,884
  5. Step 5: Solve for x
    x = 127,536,122,884/167,221
  6. Step 6: Final answer
    x = 762,680.06

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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.