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Finding the Third Proportional to 200,742 and 295,569

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Solution

The third proportional to 200,742 and 295,569 is: 435,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742 : 295,569 = 295,569 : x
  2. Step 2: Convert to fraction form
    200,742/295,569 = 295,569/x
  3. Step 3: Cross multiply
    200,742x = 295,569 × 295,569
  4. Step 4: Simplify right side
    200,742x = 87,361,033,761
  5. Step 5: Solve for x
    x = 87,361,033,761/200,742
  6. Step 6: Final answer
    x = 435,190.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.