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Finding the Third Proportional to 122,908 and 260,216

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Solution

The third proportional to 122,908 and 260,216 is: 550,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,908 : 260,216 = 260,216 : x
  2. Step 2: Convert to fraction form
    122,908/260,216 = 260,216/x
  3. Step 3: Cross multiply
    122,908x = 260,216 × 260,216
  4. Step 4: Simplify right side
    122,908x = 67,712,366,656
  5. Step 5: Solve for x
    x = 67,712,366,656/122,908
  6. Step 6: Final answer
    x = 550,919.12

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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.