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Finding the Third Proportional to 120,320 and 259,708

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Solution

The third proportional to 120,320 and 259,708 is: 560,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,320 : 259,708 = 259,708 : x
  2. Step 2: Convert to fraction form
    120,320/259,708 = 259,708/x
  3. Step 3: Cross multiply
    120,320x = 259,708 × 259,708
  4. Step 4: Simplify right side
    120,320x = 67,448,245,264
  5. Step 5: Solve for x
    x = 67,448,245,264/120,320
  6. Step 6: Final answer
    x = 560,573.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.