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Finding the Third Proportional to 236,932 and 358,220

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Solution

The third proportional to 236,932 and 358,220 is: 541,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,932 : 358,220 = 358,220 : x
  2. Step 2: Convert to fraction form
    236,932/358,220 = 358,220/x
  3. Step 3: Cross multiply
    236,932x = 358,220 × 358,220
  4. Step 4: Simplify right side
    236,932x = 128,321,568,400
  5. Step 5: Solve for x
    x = 128,321,568,400/236,932
  6. Step 6: Final answer
    x = 541,596.61

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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.