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Finding the Third Proportional to 137,389.50 and 295,494.75

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Solution

The third proportional to 137,389.50 and 295,494.75 is: 635,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,389.50 : 295,494.75 = 295,494.75 : x
  2. Step 2: Convert to fraction form
    137,389.50/295,494.75 = 295,494.75/x
  3. Step 3: Cross multiply
    137,389.50x = 295,494.75 × 295,494.75
  4. Step 4: Simplify right side
    137,389.50x = 87,317,147,277.56
  5. Step 5: Solve for x
    x = 87,317,147,277.56/137,389.50
  6. Step 6: Final answer
    x = 635,544.55

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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.