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Finding the Third Proportional to 83,274.75 and 182,363.06

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Solution

The third proportional to 83,274.75 and 182,363.06 is: 399,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.75 : 182,363.06 = 182,363.06 : x
  2. Step 2: Convert to fraction form
    83,274.75/182,363.06 = 182,363.06/x
  3. Step 3: Cross multiply
    83,274.75x = 182,363.06 × 182,363.06
  4. Step 4: Simplify right side
    83,274.75x = 33,256,286,564.38
  5. Step 5: Solve for x
    x = 33,256,286,564.38/83,274.75
  6. Step 6: Final answer
    x = 399,356.19

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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.