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Finding the Third Proportional to 200,769 and 295,602

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Solution

The third proportional to 200,769 and 295,602 is: 435,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769 : 295,602 = 295,602 : x
  2. Step 2: Convert to fraction form
    200,769/295,602 = 295,602/x
  3. Step 3: Cross multiply
    200,769x = 295,602 × 295,602
  4. Step 4: Simplify right side
    200,769x = 87,380,542,404
  5. Step 5: Solve for x
    x = 87,380,542,404/200,769
  6. Step 6: Final answer
    x = 435,229.26

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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.