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Finding the Third Proportional to 240,853.50 and 338,875

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Solution

The third proportional to 240,853.50 and 338,875 is: 476,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,853.50 : 338,875 = 338,875 : x
  2. Step 2: Convert to fraction form
    240,853.50/338,875 = 338,875/x
  3. Step 3: Cross multiply
    240,853.50x = 338,875 × 338,875
  4. Step 4: Simplify right side
    240,853.50x = 114,836,265,625
  5. Step 5: Solve for x
    x = 114,836,265,625/240,853.50
  6. Step 6: Final answer
    x = 476,788.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.