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Finding the Third Proportional to 84,612 and 183,368

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Solution

The third proportional to 84,612 and 183,368 is: 397,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,612 : 183,368 = 183,368 : x
  2. Step 2: Convert to fraction form
    84,612/183,368 = 183,368/x
  3. Step 3: Cross multiply
    84,612x = 183,368 × 183,368
  4. Step 4: Simplify right side
    84,612x = 33,623,823,424
  5. Step 5: Solve for x
    x = 33,623,823,424/84,612
  6. Step 6: Final answer
    x = 397,388.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.