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Finding the Third Proportional to 168,540.75 and 361,069.31

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Solution

The third proportional to 168,540.75 and 361,069.31 is: 773,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,540.75 : 361,069.31 = 361,069.31 : x
  2. Step 2: Convert to fraction form
    168,540.75/361,069.31 = 361,069.31/x
  3. Step 3: Cross multiply
    168,540.75x = 361,069.31 × 361,069.31
  4. Step 4: Simplify right side
    168,540.75x = 130,371,048,429.22
  5. Step 5: Solve for x
    x = 130,371,048,429.22/168,540.75
  6. Step 6: Final answer
    x = 773,528.35

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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.