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Finding the Third Proportional to 213,796.13 and 287,826.75

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Solution

The third proportional to 213,796.13 and 287,826.75 is: 387,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,796.13 : 287,826.75 = 287,826.75 : x
  2. Step 2: Convert to fraction form
    213,796.13/287,826.75 = 287,826.75/x
  3. Step 3: Cross multiply
    213,796.13x = 287,826.75 × 287,826.75
  4. Step 4: Simplify right side
    213,796.13x = 82,844,238,015.56
  5. Step 5: Solve for x
    x = 82,844,238,015.56/213,796.13
  6. Step 6: Final answer
    x = 387,491.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.