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Finding the Third Proportional to 136,815.75 and 293,861.25

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Solution

The third proportional to 136,815.75 and 293,861.25 is: 631,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,815.75 : 293,861.25 = 293,861.25 : x
  2. Step 2: Convert to fraction form
    136,815.75/293,861.25 = 293,861.25/x
  3. Step 3: Cross multiply
    136,815.75x = 293,861.25 × 293,861.25
  4. Step 4: Simplify right side
    136,815.75x = 86,354,434,251.56
  5. Step 5: Solve for x
    x = 86,354,434,251.56/136,815.75
  6. Step 6: Final answer
    x = 631,173.20

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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.