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Finding the Third Proportional to 83,376.84 and 182,323.41

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Solution

The third proportional to 83,376.84 and 182,323.41 is: 398,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376.84 : 182,323.41 = 182,323.41 : x
  2. Step 2: Convert to fraction form
    83,376.84/182,323.41 = 182,323.41/x
  3. Step 3: Cross multiply
    83,376.84x = 182,323.41 × 182,323.41
  4. Step 4: Simplify right side
    83,376.84x = 33,241,824,466.60
  5. Step 5: Solve for x
    x = 33,241,824,466.60/83,376.84
  6. Step 6: Final answer
    x = 398,693.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.