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Finding the Third Proportional to 236,218 and 358,699

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Solution

The third proportional to 236,218 and 358,699 is: 544,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,218 : 358,699 = 358,699 : x
  2. Step 2: Convert to fraction form
    236,218/358,699 = 358,699/x
  3. Step 3: Cross multiply
    236,218x = 358,699 × 358,699
  4. Step 4: Simplify right side
    236,218x = 128,664,972,601
  5. Step 5: Solve for x
    x = 128,664,972,601/236,218
  6. Step 6: Final answer
    x = 544,687.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.