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Finding the Third Proportional to 200,864 and 295,734

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Solution

The third proportional to 200,864 and 295,734 is: 435,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,864 : 295,734 = 295,734 : x
  2. Step 2: Convert to fraction form
    200,864/295,734 = 295,734/x
  3. Step 3: Cross multiply
    200,864x = 295,734 × 295,734
  4. Step 4: Simplify right side
    200,864x = 87,458,598,756
  5. Step 5: Solve for x
    x = 87,458,598,756/200,864
  6. Step 6: Final answer
    x = 435,412.01

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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.