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Finding the Third Proportional to 89,658 and 211,344

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Solution

The third proportional to 89,658 and 211,344 is: 498,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,658 : 211,344 = 211,344 : x
  2. Step 2: Convert to fraction form
    89,658/211,344 = 211,344/x
  3. Step 3: Cross multiply
    89,658x = 211,344 × 211,344
  4. Step 4: Simplify right side
    89,658x = 44,666,286,336
  5. Step 5: Solve for x
    x = 44,666,286,336/89,658
  6. Step 6: Final answer
    x = 498,185.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.