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Finding the Third Proportional to 201,340.69 and 282,236.91

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Solution

The third proportional to 201,340.69 and 282,236.91 is: 395,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,340.69 : 282,236.91 = 282,236.91 : x
  2. Step 2: Convert to fraction form
    201,340.69/282,236.91 = 282,236.91/x
  3. Step 3: Cross multiply
    201,340.69x = 282,236.91 × 282,236.91
  4. Step 4: Simplify right side
    201,340.69x = 79,657,671,249.57
  5. Step 5: Solve for x
    x = 79,657,671,249.57/201,340.69
  6. Step 6: Final answer
    x = 395,636.23

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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.