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Finding the Third Proportional to 167,566 and 359,119

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Solution

The third proportional to 167,566 and 359,119 is: 769,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,566 : 359,119 = 359,119 : x
  2. Step 2: Convert to fraction form
    167,566/359,119 = 359,119/x
  3. Step 3: Cross multiply
    167,566x = 359,119 × 359,119
  4. Step 4: Simplify right side
    167,566x = 128,966,456,161
  5. Step 5: Solve for x
    x = 128,966,456,161/167,566
  6. Step 6: Final answer
    x = 769,645.73

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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.