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Finding the Third Proportional to 133,026.75 and 285,736.50

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Solution

The third proportional to 133,026.75 and 285,736.50 is: 613,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026.75 : 285,736.50 = 285,736.50 : x
  2. Step 2: Convert to fraction form
    133,026.75/285,736.50 = 285,736.50/x
  3. Step 3: Cross multiply
    133,026.75x = 285,736.50 × 285,736.50
  4. Step 4: Simplify right side
    133,026.75x = 81,645,347,432.25
  5. Step 5: Solve for x
    x = 81,645,347,432.25/133,026.75
  6. Step 6: Final answer
    x = 613,751.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.