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Finding the Third Proportional to 168,121.50 and 360,651

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Solution

The third proportional to 168,121.50 and 360,651 is: 773,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,121.50 : 360,651 = 360,651 : x
  2. Step 2: Convert to fraction form
    168,121.50/360,651 = 360,651/x
  3. Step 3: Cross multiply
    168,121.50x = 360,651 × 360,651
  4. Step 4: Simplify right side
    168,121.50x = 130,069,143,801
  5. Step 5: Solve for x
    x = 130,069,143,801/168,121.50
  6. Step 6: Final answer
    x = 773,661.57

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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.