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Finding the Third Proportional to 193,784 and 283,008

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Solution

The third proportional to 193,784 and 283,008 is: 413,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,784 : 283,008 = 283,008 : x
  2. Step 2: Convert to fraction form
    193,784/283,008 = 283,008/x
  3. Step 3: Cross multiply
    193,784x = 283,008 × 283,008
  4. Step 4: Simplify right side
    193,784x = 80,093,528,064
  5. Step 5: Solve for x
    x = 80,093,528,064/193,784
  6. Step 6: Final answer
    x = 413,313.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.