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Finding the Third Proportional to 183,727 and 283,913

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Solution

The third proportional to 183,727 and 283,913 is: 438,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,727 : 283,913 = 283,913 : x
  2. Step 2: Convert to fraction form
    183,727/283,913 = 283,913/x
  3. Step 3: Cross multiply
    183,727x = 283,913 × 283,913
  4. Step 4: Simplify right side
    183,727x = 80,606,591,569
  5. Step 5: Solve for x
    x = 80,606,591,569/183,727
  6. Step 6: Final answer
    x = 438,730.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.