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Finding the Third Proportional to 236,784 and 362,223

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Solution

The third proportional to 236,784 and 362,223 is: 554,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,784 : 362,223 = 362,223 : x
  2. Step 2: Convert to fraction form
    236,784/362,223 = 362,223/x
  3. Step 3: Cross multiply
    236,784x = 362,223 × 362,223
  4. Step 4: Simplify right side
    236,784x = 131,205,501,729
  5. Step 5: Solve for x
    x = 131,205,501,729/236,784
  6. Step 6: Final answer
    x = 554,114.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.