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Finding the Third Proportional to 167,314 and 360,692

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Solution

The third proportional to 167,314 and 360,692 is: 777,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,314 : 360,692 = 360,692 : x
  2. Step 2: Convert to fraction form
    167,314/360,692 = 360,692/x
  3. Step 3: Cross multiply
    167,314x = 360,692 × 360,692
  4. Step 4: Simplify right side
    167,314x = 130,098,718,864
  5. Step 5: Solve for x
    x = 130,098,718,864/167,314
  6. Step 6: Final answer
    x = 777,572.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.