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Finding the Third Proportional to 118,590 and 259,302

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Solution

The third proportional to 118,590 and 259,302 is: 566,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,590 : 259,302 = 259,302 : x
  2. Step 2: Convert to fraction form
    118,590/259,302 = 259,302/x
  3. Step 3: Cross multiply
    118,590x = 259,302 × 259,302
  4. Step 4: Simplify right side
    118,590x = 67,237,527,204
  5. Step 5: Solve for x
    x = 67,237,527,204/118,590
  6. Step 6: Final answer
    x = 566,974.68

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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.