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Finding the Third Proportional to 107,226 and 229,177

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Solution

The third proportional to 107,226 and 229,177 is: 489,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,226 : 229,177 = 229,177 : x
  2. Step 2: Convert to fraction form
    107,226/229,177 = 229,177/x
  3. Step 3: Cross multiply
    107,226x = 229,177 × 229,177
  4. Step 4: Simplify right side
    107,226x = 52,522,097,329
  5. Step 5: Solve for x
    x = 52,522,097,329/107,226
  6. Step 6: Final answer
    x = 489,826.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.