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Finding the Third Proportional to 131,294.25 and 191,200.50

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Solution

The third proportional to 131,294.25 and 191,200.50 is: 278,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,294.25 : 191,200.50 = 191,200.50 : x
  2. Step 2: Convert to fraction form
    131,294.25/191,200.50 = 191,200.50/x
  3. Step 3: Cross multiply
    131,294.25x = 191,200.50 × 191,200.50
  4. Step 4: Simplify right side
    131,294.25x = 36,557,631,200.25
  5. Step 5: Solve for x
    x = 36,557,631,200.25/131,294.25
  6. Step 6: Final answer
    x = 278,440.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.