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Finding the Third Proportional to 236,007 and 362,969

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Solution

The third proportional to 236,007 and 362,969 is: 558,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,007 : 362,969 = 362,969 : x
  2. Step 2: Convert to fraction form
    236,007/362,969 = 362,969/x
  3. Step 3: Cross multiply
    236,007x = 362,969 × 362,969
  4. Step 4: Simplify right side
    236,007x = 131,746,494,961
  5. Step 5: Solve for x
    x = 131,746,494,961/236,007
  6. Step 6: Final answer
    x = 558,231.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.