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Finding the Third Proportional to 211,938.75 and 297,029.25

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Solution

The third proportional to 211,938.75 and 297,029.25 is: 416,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,938.75 : 297,029.25 = 297,029.25 : x
  2. Step 2: Convert to fraction form
    211,938.75/297,029.25 = 297,029.25/x
  3. Step 3: Cross multiply
    211,938.75x = 297,029.25 × 297,029.25
  4. Step 4: Simplify right side
    211,938.75x = 88,226,375,355.56
  5. Step 5: Solve for x
    x = 88,226,375,355.56/211,938.75
  6. Step 6: Final answer
    x = 416,282.42

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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.