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Finding the Third Proportional to 201,922 and 282,929

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Solution

The third proportional to 201,922 and 282,929 is: 396,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,922 : 282,929 = 282,929 : x
  2. Step 2: Convert to fraction form
    201,922/282,929 = 282,929/x
  3. Step 3: Cross multiply
    201,922x = 282,929 × 282,929
  4. Step 4: Simplify right side
    201,922x = 80,048,819,041
  5. Step 5: Solve for x
    x = 80,048,819,041/201,922
  6. Step 6: Final answer
    x = 396,434.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.