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Finding the Third Proportional to 240,575.91 and 336,340.69

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Solution

The third proportional to 240,575.91 and 336,340.69 is: 470,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,575.91 : 336,340.69 = 336,340.69 : x
  2. Step 2: Convert to fraction form
    240,575.91/336,340.69 = 336,340.69/x
  3. Step 3: Cross multiply
    240,575.91x = 336,340.69 × 336,340.69
  4. Step 4: Simplify right side
    240,575.91x = 113,125,058,067.97
  5. Step 5: Solve for x
    x = 113,125,058,067.97/240,575.91
  6. Step 6: Final answer
    x = 470,226.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.