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Finding the Third Proportional to 211,926.75 and 297,018.75

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Solution

The third proportional to 211,926.75 and 297,018.75 is: 416,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,926.75 : 297,018.75 = 297,018.75 : x
  2. Step 2: Convert to fraction form
    211,926.75/297,018.75 = 297,018.75/x
  3. Step 3: Cross multiply
    211,926.75x = 297,018.75 × 297,018.75
  4. Step 4: Simplify right side
    211,926.75x = 88,220,137,851.56
  5. Step 5: Solve for x
    x = 88,220,137,851.56/211,926.75
  6. Step 6: Final answer
    x = 416,276.56

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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.