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Finding the Third Proportional to 142,195.50 and 214,194.38

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Solution

The third proportional to 142,195.50 and 214,194.38 is: 322,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,195.50 : 214,194.38 = 214,194.38 : x
  2. Step 2: Convert to fraction form
    142,195.50/214,194.38 = 214,194.38/x
  3. Step 3: Cross multiply
    142,195.50x = 214,194.38 × 214,194.38
  4. Step 4: Simplify right side
    142,195.50x = 45,879,230,281.64
  5. Step 5: Solve for x
    x = 45,879,230,281.64/142,195.50
  6. Step 6: Final answer
    x = 322,648.96

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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.