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Finding the Third Proportional to 89,653 and 211,334

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Solution

The third proportional to 89,653 and 211,334 is: 498,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,653 : 211,334 = 211,334 : x
  2. Step 2: Convert to fraction form
    89,653/211,334 = 211,334/x
  3. Step 3: Cross multiply
    89,653x = 211,334 × 211,334
  4. Step 4: Simplify right side
    89,653x = 44,662,059,556
  5. Step 5: Solve for x
    x = 44,662,059,556/89,653
  6. Step 6: Final answer
    x = 498,165.81

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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.