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Finding the Third Proportional to 240,634.13 and 336,441.94

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Solution

The third proportional to 240,634.13 and 336,441.94 is: 470,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,634.13 : 336,441.94 = 336,441.94 : x
  2. Step 2: Convert to fraction form
    240,634.13/336,441.94 = 336,441.94/x
  3. Step 3: Cross multiply
    240,634.13x = 336,441.94 × 336,441.94
  4. Step 4: Simplify right side
    240,634.13x = 113,193,177,308.75
  5. Step 5: Solve for x
    x = 113,193,177,308.75/240,634.13
  6. Step 6: Final answer
    x = 470,395.37

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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.