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Finding the Third Proportional to 236,260 and 341,142

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Solution

The third proportional to 236,260 and 341,142 is: 492,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,260 : 341,142 = 341,142 : x
  2. Step 2: Convert to fraction form
    236,260/341,142 = 341,142/x
  3. Step 3: Cross multiply
    236,260x = 341,142 × 341,142
  4. Step 4: Simplify right side
    236,260x = 116,377,864,164
  5. Step 5: Solve for x
    x = 116,377,864,164/236,260
  6. Step 6: Final answer
    x = 492,583.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.