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Finding the Third Proportional to 168,585.68 and 361,218.23

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Solution

The third proportional to 168,585.68 and 361,218.23 is: 773,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,585.68 : 361,218.23 = 361,218.23 : x
  2. Step 2: Convert to fraction form
    168,585.68/361,218.23 = 361,218.23/x
  3. Step 3: Cross multiply
    168,585.68x = 361,218.23 × 361,218.23
  4. Step 4: Simplify right side
    168,585.68x = 130,478,612,844.99
  5. Step 5: Solve for x
    x = 130,478,612,844.99/168,585.68
  6. Step 6: Final answer
    x = 773,960.24

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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.