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Finding the Third Proportional to 201,205 and 282,007

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Solution

The third proportional to 201,205 and 282,007 is: 395,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205 : 282,007 = 282,007 : x
  2. Step 2: Convert to fraction form
    201,205/282,007 = 282,007/x
  3. Step 3: Cross multiply
    201,205x = 282,007 × 282,007
  4. Step 4: Simplify right side
    201,205x = 79,527,948,049
  5. Step 5: Solve for x
    x = 79,527,948,049/201,205
  6. Step 6: Final answer
    x = 395,258.31

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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.