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Finding the Third Proportional to 168,295.50 and 360,232.13

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Solution

The third proportional to 168,295.50 and 360,232.13 is: 771,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,295.50 : 360,232.13 = 360,232.13 : x
  2. Step 2: Convert to fraction form
    168,295.50/360,232.13 = 360,232.13/x
  3. Step 3: Cross multiply
    168,295.50x = 360,232.13 × 360,232.13
  4. Step 4: Simplify right side
    168,295.50x = 129,767,183,882.02
  5. Step 5: Solve for x
    x = 129,767,183,882.02/168,295.50
  6. Step 6: Final answer
    x = 771,067.46

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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.