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Finding the Third Proportional to 201,330 and 282,169

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Solution

The third proportional to 201,330 and 282,169 is: 395,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,330 : 282,169 = 282,169 : x
  2. Step 2: Convert to fraction form
    201,330/282,169 = 282,169/x
  3. Step 3: Cross multiply
    201,330x = 282,169 × 282,169
  4. Step 4: Simplify right side
    201,330x = 79,619,344,561
  5. Step 5: Solve for x
    x = 79,619,344,561/201,330
  6. Step 6: Final answer
    x = 395,466.87

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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.