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Finding the Third Proportional to 115,991 and 247,165

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Solution

The third proportional to 115,991 and 247,165 is: 526,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,991 : 247,165 = 247,165 : x
  2. Step 2: Convert to fraction form
    115,991/247,165 = 247,165/x
  3. Step 3: Cross multiply
    115,991x = 247,165 × 247,165
  4. Step 4: Simplify right side
    115,991x = 61,090,537,225
  5. Step 5: Solve for x
    x = 61,090,537,225/115,991
  6. Step 6: Final answer
    x = 526,683.43

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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.