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Finding the Third Proportional to 84,416.25 and 199,269

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Solution

The third proportional to 84,416.25 and 199,269 is: 470,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,416.25 : 199,269 = 199,269 : x
  2. Step 2: Convert to fraction form
    84,416.25/199,269 = 199,269/x
  3. Step 3: Cross multiply
    84,416.25x = 199,269 × 199,269
  4. Step 4: Simplify right side
    84,416.25x = 39,708,134,361
  5. Step 5: Solve for x
    x = 39,708,134,361/84,416.25
  6. Step 6: Final answer
    x = 470,384.96

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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.