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Finding the Third Proportional to 197,966.25 and 282,065.63

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Solution

The third proportional to 197,966.25 and 282,065.63 is: 401,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,966.25 : 282,065.63 = 282,065.63 : x
  2. Step 2: Convert to fraction form
    197,966.25/282,065.63 = 282,065.63/x
  3. Step 3: Cross multiply
    197,966.25x = 282,065.63 × 282,065.63
  4. Step 4: Simplify right side
    197,966.25x = 79,561,016,806.64
  5. Step 5: Solve for x
    x = 79,561,016,806.64/197,966.25
  6. Step 6: Final answer
    x = 401,891.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.