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Finding the Third Proportional to 201,220 and 282,006

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Solution

The third proportional to 201,220 and 282,006 is: 395,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,220 : 282,006 = 282,006 : x
  2. Step 2: Convert to fraction form
    201,220/282,006 = 282,006/x
  3. Step 3: Cross multiply
    201,220x = 282,006 × 282,006
  4. Step 4: Simplify right side
    201,220x = 79,527,384,036
  5. Step 5: Solve for x
    x = 79,527,384,036/201,220
  6. Step 6: Final answer
    x = 395,226.04

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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.