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Finding the Third Proportional to 84,467 and 186,358

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Solution

The third proportional to 84,467 and 186,358 is: 411,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,467 : 186,358 = 186,358 : x
  2. Step 2: Convert to fraction form
    84,467/186,358 = 186,358/x
  3. Step 3: Cross multiply
    84,467x = 186,358 × 186,358
  4. Step 4: Simplify right side
    84,467x = 34,729,304,164
  5. Step 5: Solve for x
    x = 34,729,304,164/84,467
  6. Step 6: Final answer
    x = 411,158.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.