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Finding the Third Proportional to 219,319.59 and 321,375.38

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Solution

The third proportional to 219,319.59 and 321,375.38 is: 470,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319.59 : 321,375.38 = 321,375.38 : x
  2. Step 2: Convert to fraction form
    219,319.59/321,375.38 = 321,375.38/x
  3. Step 3: Cross multiply
    219,319.59x = 321,375.38 × 321,375.38
  4. Step 4: Simplify right side
    219,319.59x = 103,282,131,656.39
  5. Step 5: Solve for x
    x = 103,282,131,656.39/219,319.59
  6. Step 6: Final answer
    x = 470,920.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.