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Finding the Third Proportional to 195,014 and 291,245

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Solution

The third proportional to 195,014 and 291,245 is: 434,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,014 : 291,245 = 291,245 : x
  2. Step 2: Convert to fraction form
    195,014/291,245 = 291,245/x
  3. Step 3: Cross multiply
    195,014x = 291,245 × 291,245
  4. Step 4: Simplify right side
    195,014x = 84,823,650,025
  5. Step 5: Solve for x
    x = 84,823,650,025/195,014
  6. Step 6: Final answer
    x = 434,961.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.