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Finding the Third Proportional to 197,486 and 282,206

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Solution

The third proportional to 197,486 and 282,206 is: 403,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,486 : 282,206 = 282,206 : x
  2. Step 2: Convert to fraction form
    197,486/282,206 = 282,206/x
  3. Step 3: Cross multiply
    197,486x = 282,206 × 282,206
  4. Step 4: Simplify right side
    197,486x = 79,640,226,436
  5. Step 5: Solve for x
    x = 79,640,226,436/197,486
  6. Step 6: Final answer
    x = 403,270.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.