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Finding the Third Proportional to 122,516 and 250,216

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Solution

The third proportional to 122,516 and 250,216 is: 511,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,516 : 250,216 = 250,216 : x
  2. Step 2: Convert to fraction form
    122,516/250,216 = 250,216/x
  3. Step 3: Cross multiply
    122,516x = 250,216 × 250,216
  4. Step 4: Simplify right side
    122,516x = 62,608,046,656
  5. Step 5: Solve for x
    x = 62,608,046,656/122,516
  6. Step 6: Final answer
    x = 511,019.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.