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Finding the Third Proportional to 115,975.50 and 247,138.50

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Solution

The third proportional to 115,975.50 and 247,138.50 is: 526,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,975.50 : 247,138.50 = 247,138.50 : x
  2. Step 2: Convert to fraction form
    115,975.50/247,138.50 = 247,138.50/x
  3. Step 3: Cross multiply
    115,975.50x = 247,138.50 × 247,138.50
  4. Step 4: Simplify right side
    115,975.50x = 61,077,438,182.25
  5. Step 5: Solve for x
    x = 61,077,438,182.25/115,975.50
  6. Step 6: Final answer
    x = 526,640.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.