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Finding the Third Proportional to 162,109 and 349,186

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Solution

The third proportional to 162,109 and 349,186 is: 752,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,109 : 349,186 = 349,186 : x
  2. Step 2: Convert to fraction form
    162,109/349,186 = 349,186/x
  3. Step 3: Cross multiply
    162,109x = 349,186 × 349,186
  4. Step 4: Simplify right side
    162,109x = 121,930,862,596
  5. Step 5: Solve for x
    x = 121,930,862,596/162,109
  6. Step 6: Final answer
    x = 752,153.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.