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Finding the Third Proportional to 159,808 and 347,792

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Solution

The third proportional to 159,808 and 347,792 is: 756,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,808 : 347,792 = 347,792 : x
  2. Step 2: Convert to fraction form
    159,808/347,792 = 347,792/x
  3. Step 3: Cross multiply
    159,808x = 347,792 × 347,792
  4. Step 4: Simplify right side
    159,808x = 120,959,275,264
  5. Step 5: Solve for x
    x = 120,959,275,264/159,808
  6. Step 6: Final answer
    x = 756,903.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.