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Finding the Third Proportional to 84,012 and 183,432

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Solution

The third proportional to 84,012 and 183,432 is: 400,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,012 : 183,432 = 183,432 : x
  2. Step 2: Convert to fraction form
    84,012/183,432 = 183,432/x
  3. Step 3: Cross multiply
    84,012x = 183,432 × 183,432
  4. Step 4: Simplify right side
    84,012x = 33,647,298,624
  5. Step 5: Solve for x
    x = 33,647,298,624/84,012
  6. Step 6: Final answer
    x = 400,505.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.