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Finding the Third Proportional to 236,936 and 358,226

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Solution

The third proportional to 236,936 and 358,226 is: 541,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,936 : 358,226 = 358,226 : x
  2. Step 2: Convert to fraction form
    236,936/358,226 = 358,226/x
  3. Step 3: Cross multiply
    236,936x = 358,226 × 358,226
  4. Step 4: Simplify right side
    236,936x = 128,325,867,076
  5. Step 5: Solve for x
    x = 128,325,867,076/236,936
  6. Step 6: Final answer
    x = 541,605.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.