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Finding the Third Proportional to 141,808.50 and 219,550.50

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Solution

The third proportional to 141,808.50 and 219,550.50 is: 339,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,808.50 : 219,550.50 = 219,550.50 : x
  2. Step 2: Convert to fraction form
    141,808.50/219,550.50 = 219,550.50/x
  3. Step 3: Cross multiply
    141,808.50x = 219,550.50 × 219,550.50
  4. Step 4: Simplify right side
    141,808.50x = 48,202,422,050.25
  5. Step 5: Solve for x
    x = 48,202,422,050.25/141,808.50
  6. Step 6: Final answer
    x = 339,912.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.