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Finding the Third Proportional to 195,277 and 292,916

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Solution

The third proportional to 195,277 and 292,916 is: 439,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,277 : 292,916 = 292,916 : x
  2. Step 2: Convert to fraction form
    195,277/292,916 = 292,916/x
  3. Step 3: Cross multiply
    195,277x = 292,916 × 292,916
  4. Step 4: Simplify right side
    195,277x = 85,799,783,056
  5. Step 5: Solve for x
    x = 85,799,783,056/195,277
  6. Step 6: Final answer
    x = 439,374.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.