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Finding the Third Proportional to 195,840 and 293,022

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Solution

The third proportional to 195,840 and 293,022 is: 438,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,840 : 293,022 = 293,022 : x
  2. Step 2: Convert to fraction form
    195,840/293,022 = 293,022/x
  3. Step 3: Cross multiply
    195,840x = 293,022 × 293,022
  4. Step 4: Simplify right side
    195,840x = 85,861,892,484
  5. Step 5: Solve for x
    x = 85,861,892,484/195,840
  6. Step 6: Final answer
    x = 438,428.78

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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.