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Finding the Third Proportional to 200,948 and 295,374

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Solution

The third proportional to 200,948 and 295,374 is: 434,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,948 : 295,374 = 295,374 : x
  2. Step 2: Convert to fraction form
    200,948/295,374 = 295,374/x
  3. Step 3: Cross multiply
    200,948x = 295,374 × 295,374
  4. Step 4: Simplify right side
    200,948x = 87,245,799,876
  5. Step 5: Solve for x
    x = 87,245,799,876/200,948
  6. Step 6: Final answer
    x = 434,171.03

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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.