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Finding the Third Proportional to 167,211 and 357,102

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Solution

The third proportional to 167,211 and 357,102 is: 762,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,211 : 357,102 = 357,102 : x
  2. Step 2: Convert to fraction form
    167,211/357,102 = 357,102/x
  3. Step 3: Cross multiply
    167,211x = 357,102 × 357,102
  4. Step 4: Simplify right side
    167,211x = 127,521,838,404
  5. Step 5: Solve for x
    x = 127,521,838,404/167,211
  6. Step 6: Final answer
    x = 762,640.25

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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.