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Finding the Third Proportional to 211,250.25 and 437,262.75

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Solution

The third proportional to 211,250.25 and 437,262.75 is: 905,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,250.25 : 437,262.75 = 437,262.75 : x
  2. Step 2: Convert to fraction form
    211,250.25/437,262.75 = 437,262.75/x
  3. Step 3: Cross multiply
    211,250.25x = 437,262.75 × 437,262.75
  4. Step 4: Simplify right side
    211,250.25x = 191,198,712,537.56
  5. Step 5: Solve for x
    x = 191,198,712,537.56/211,250.25
  6. Step 6: Final answer
    x = 905,081.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.