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Finding the Third Proportional to 195,842 and 293,025

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Solution

The third proportional to 195,842 and 293,025 is: 438,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,842 : 293,025 = 293,025 : x
  2. Step 2: Convert to fraction form
    195,842/293,025 = 293,025/x
  3. Step 3: Cross multiply
    195,842x = 293,025 × 293,025
  4. Step 4: Simplify right side
    195,842x = 85,863,650,625
  5. Step 5: Solve for x
    x = 85,863,650,625/195,842
  6. Step 6: Final answer
    x = 438,433.28

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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.