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Finding the Third Proportional to 115,911.75 and 247,133.25

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Solution

The third proportional to 115,911.75 and 247,133.25 is: 526,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,911.75 : 247,133.25 = 247,133.25 : x
  2. Step 2: Convert to fraction form
    115,911.75/247,133.25 = 247,133.25/x
  3. Step 3: Cross multiply
    115,911.75x = 247,133.25 × 247,133.25
  4. Step 4: Simplify right side
    115,911.75x = 61,074,843,255.56
  5. Step 5: Solve for x
    x = 61,074,843,255.56/115,911.75
  6. Step 6: Final answer
    x = 526,908.13

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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.