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Finding the Third Proportional to 181,286 and 388,814

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Solution

The third proportional to 181,286 and 388,814 is: 833,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,286 : 388,814 = 388,814 : x
  2. Step 2: Convert to fraction form
    181,286/388,814 = 388,814/x
  3. Step 3: Cross multiply
    181,286x = 388,814 × 388,814
  4. Step 4: Simplify right side
    181,286x = 151,176,326,596
  5. Step 5: Solve for x
    x = 151,176,326,596/181,286
  6. Step 6: Final answer
    x = 833,910.65

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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.