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Finding the Third Proportional to 197,480 and 282,199

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Solution

The third proportional to 197,480 and 282,199 is: 403,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,480 : 282,199 = 282,199 : x
  2. Step 2: Convert to fraction form
    197,480/282,199 = 282,199/x
  3. Step 3: Cross multiply
    197,480x = 282,199 × 282,199
  4. Step 4: Simplify right side
    197,480x = 79,636,275,601
  5. Step 5: Solve for x
    x = 79,636,275,601/197,480
  6. Step 6: Final answer
    x = 403,262.49

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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.