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Finding the Third Proportional to 213,302.25 and 321,306.75

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Solution

The third proportional to 213,302.25 and 321,306.75 is: 483,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,302.25 : 321,306.75 = 321,306.75 : x
  2. Step 2: Convert to fraction form
    213,302.25/321,306.75 = 321,306.75/x
  3. Step 3: Cross multiply
    213,302.25x = 321,306.75 × 321,306.75
  4. Step 4: Simplify right side
    213,302.25x = 103,238,027,595.56
  5. Step 5: Solve for x
    x = 103,238,027,595.56/213,302.25
  6. Step 6: Final answer
    x = 483,998.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.