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Finding the Third Proportional to 133,226 and 286,216

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Solution

The third proportional to 133,226 and 286,216 is: 614,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,226 : 286,216 = 286,216 : x
  2. Step 2: Convert to fraction form
    133,226/286,216 = 286,216/x
  3. Step 3: Cross multiply
    133,226x = 286,216 × 286,216
  4. Step 4: Simplify right side
    133,226x = 81,919,598,656
  5. Step 5: Solve for x
    x = 81,919,598,656/133,226
  6. Step 6: Final answer
    x = 614,891.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.