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Finding the Third Proportional to 167,882 and 360,610

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Solution

The third proportional to 167,882 and 360,610 is: 774,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,882 : 360,610 = 360,610 : x
  2. Step 2: Convert to fraction form
    167,882/360,610 = 360,610/x
  3. Step 3: Cross multiply
    167,882x = 360,610 × 360,610
  4. Step 4: Simplify right side
    167,882x = 130,039,572,100
  5. Step 5: Solve for x
    x = 130,039,572,100/167,882
  6. Step 6: Final answer
    x = 774,589.13

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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.