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Finding the Third Proportional to 201,217 and 282,001

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Solution

The third proportional to 201,217 and 282,001 is: 395,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217 : 282,001 = 282,001 : x
  2. Step 2: Convert to fraction form
    201,217/282,001 = 282,001/x
  3. Step 3: Cross multiply
    201,217x = 282,001 × 282,001
  4. Step 4: Simplify right side
    201,217x = 79,524,564,001
  5. Step 5: Solve for x
    x = 79,524,564,001/201,217
  6. Step 6: Final answer
    x = 395,217.92

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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.