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Finding the Third Proportional to 236,396 and 358,966

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Solution

The third proportional to 236,396 and 358,966 is: 545,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,396 : 358,966 = 358,966 : x
  2. Step 2: Convert to fraction form
    236,396/358,966 = 358,966/x
  3. Step 3: Cross multiply
    236,396x = 358,966 × 358,966
  4. Step 4: Simplify right side
    236,396x = 128,856,589,156
  5. Step 5: Solve for x
    x = 128,856,589,156/236,396
  6. Step 6: Final answer
    x = 545,087.86

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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.