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Finding the Third Proportional to 84,286 and 185,544

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Solution

The third proportional to 84,286 and 185,544 is: 408,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286 : 185,544 = 185,544 : x
  2. Step 2: Convert to fraction form
    84,286/185,544 = 185,544/x
  3. Step 3: Cross multiply
    84,286x = 185,544 × 185,544
  4. Step 4: Simplify right side
    84,286x = 34,426,575,936
  5. Step 5: Solve for x
    x = 34,426,575,936/84,286
  6. Step 6: Final answer
    x = 408,449.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.