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Finding the Third Proportional to 183,684 and 283,719

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Solution

The third proportional to 183,684 and 283,719 is: 438,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,684 : 283,719 = 283,719 : x
  2. Step 2: Convert to fraction form
    183,684/283,719 = 283,719/x
  3. Step 3: Cross multiply
    183,684x = 283,719 × 283,719
  4. Step 4: Simplify right side
    183,684x = 80,496,470,961
  5. Step 5: Solve for x
    x = 80,496,470,961/183,684
  6. Step 6: Final answer
    x = 438,233.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.