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Finding the Third Proportional to 183,720 and 393,683

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Solution

The third proportional to 183,720 and 393,683 is: 843,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,720 : 393,683 = 393,683 : x
  2. Step 2: Convert to fraction form
    183,720/393,683 = 393,683/x
  3. Step 3: Cross multiply
    183,720x = 393,683 × 393,683
  4. Step 4: Simplify right side
    183,720x = 154,986,304,489
  5. Step 5: Solve for x
    x = 154,986,304,489/183,720
  6. Step 6: Final answer
    x = 843,600.61

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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.