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Finding the Third Proportional to 201,742 and 282,735

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Solution

The third proportional to 201,742 and 282,735 is: 396,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742 : 282,735 = 282,735 : x
  2. Step 2: Convert to fraction form
    201,742/282,735 = 282,735/x
  3. Step 3: Cross multiply
    201,742x = 282,735 × 282,735
  4. Step 4: Simplify right side
    201,742x = 79,939,080,225
  5. Step 5: Solve for x
    x = 79,939,080,225/201,742
  6. Step 6: Final answer
    x = 396,244.11

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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.