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Finding the Third Proportional to 118,510 and 259,191

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Solution

The third proportional to 118,510 and 259,191 is: 566,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,510 : 259,191 = 259,191 : x
  2. Step 2: Convert to fraction form
    118,510/259,191 = 259,191/x
  3. Step 3: Cross multiply
    118,510x = 259,191 × 259,191
  4. Step 4: Simplify right side
    118,510x = 67,179,974,481
  5. Step 5: Solve for x
    x = 67,179,974,481/118,510
  6. Step 6: Final answer
    x = 566,871.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.