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Finding the Third Proportional to 200,588 and 282,228

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Solution

The third proportional to 200,588 and 282,228 is: 397,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,588 : 282,228 = 282,228 : x
  2. Step 2: Convert to fraction form
    200,588/282,228 = 282,228/x
  3. Step 3: Cross multiply
    200,588x = 282,228 × 282,228
  4. Step 4: Simplify right side
    200,588x = 79,652,643,984
  5. Step 5: Solve for x
    x = 79,652,643,984/200,588
  6. Step 6: Final answer
    x = 397,095.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.