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Finding the Third Proportional to 168,686.25 and 349,308.75

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Solution

The third proportional to 168,686.25 and 349,308.75 is: 723,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,686.25 : 349,308.75 = 349,308.75 : x
  2. Step 2: Convert to fraction form
    168,686.25/349,308.75 = 349,308.75/x
  3. Step 3: Cross multiply
    168,686.25x = 349,308.75 × 349,308.75
  4. Step 4: Simplify right side
    168,686.25x = 122,016,602,826.56
  5. Step 5: Solve for x
    x = 122,016,602,826.56/168,686.25
  6. Step 6: Final answer
    x = 723,334.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.