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Finding the Third Proportional to 122,386 and 259,452

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Solution

The third proportional to 122,386 and 259,452 is: 550,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,386 : 259,452 = 259,452 : x
  2. Step 2: Convert to fraction form
    122,386/259,452 = 259,452/x
  3. Step 3: Cross multiply
    122,386x = 259,452 × 259,452
  4. Step 4: Simplify right side
    122,386x = 67,315,340,304
  5. Step 5: Solve for x
    x = 67,315,340,304/122,386
  6. Step 6: Final answer
    x = 550,024.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.