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Finding the Third Proportional to 83,619 and 178,875

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Solution

The third proportional to 83,619 and 178,875 is: 382,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619 : 178,875 = 178,875 : x
  2. Step 2: Convert to fraction form
    83,619/178,875 = 178,875/x
  3. Step 3: Cross multiply
    83,619x = 178,875 × 178,875
  4. Step 4: Simplify right side
    83,619x = 31,996,265,625
  5. Step 5: Solve for x
    x = 31,996,265,625/83,619
  6. Step 6: Final answer
    x = 382,643.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.