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Finding the Third Proportional to 236,800 and 362,248

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Solution

The third proportional to 236,800 and 362,248 is: 554,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,800 : 362,248 = 362,248 : x
  2. Step 2: Convert to fraction form
    236,800/362,248 = 362,248/x
  3. Step 3: Cross multiply
    236,800x = 362,248 × 362,248
  4. Step 4: Simplify right side
    236,800x = 131,223,613,504
  5. Step 5: Solve for x
    x = 131,223,613,504/236,800
  6. Step 6: Final answer
    x = 554,153.77

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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.