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Finding the Third Proportional to 236,788 and 362,228

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Solution

The third proportional to 236,788 and 362,228 is: 554,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,788 : 362,228 = 362,228 : x
  2. Step 2: Convert to fraction form
    236,788/362,228 = 362,228/x
  3. Step 3: Cross multiply
    236,788x = 362,228 × 362,228
  4. Step 4: Simplify right side
    236,788x = 131,209,123,984
  5. Step 5: Solve for x
    x = 131,209,123,984/236,788
  6. Step 6: Final answer
    x = 554,120.66

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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.