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Finding the Third Proportional to 166,214 and 360,292

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Solution

The third proportional to 166,214 and 360,292 is: 780,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,214 : 360,292 = 360,292 : x
  2. Step 2: Convert to fraction form
    166,214/360,292 = 360,292/x
  3. Step 3: Cross multiply
    166,214x = 360,292 × 360,292
  4. Step 4: Simplify right side
    166,214x = 129,810,325,264
  5. Step 5: Solve for x
    x = 129,810,325,264/166,214
  6. Step 6: Final answer
    x = 780,983.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.