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Finding the Third Proportional to 159,816 and 347,280

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Solution

The third proportional to 159,816 and 347,280 is: 754,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,816 : 347,280 = 347,280 : x
  2. Step 2: Convert to fraction form
    159,816/347,280 = 347,280/x
  3. Step 3: Cross multiply
    159,816x = 347,280 × 347,280
  4. Step 4: Simplify right side
    159,816x = 120,603,398,400
  5. Step 5: Solve for x
    x = 120,603,398,400/159,816
  6. Step 6: Final answer
    x = 754,639.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.