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Finding the Third Proportional to 84,266 and 194,585

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Solution

The third proportional to 84,266 and 194,585 is: 449,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,266 : 194,585 = 194,585 : x
  2. Step 2: Convert to fraction form
    84,266/194,585 = 194,585/x
  3. Step 3: Cross multiply
    84,266x = 194,585 × 194,585
  4. Step 4: Simplify right side
    84,266x = 37,863,322,225
  5. Step 5: Solve for x
    x = 37,863,322,225/84,266
  6. Step 6: Final answer
    x = 449,330.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.