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Finding the Third Proportional to 159,363 and 347,704

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Solution

The third proportional to 159,363 and 347,704 is: 758,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,363 : 347,704 = 347,704 : x
  2. Step 2: Convert to fraction form
    159,363/347,704 = 347,704/x
  3. Step 3: Cross multiply
    159,363x = 347,704 × 347,704
  4. Step 4: Simplify right side
    159,363x = 120,898,071,616
  5. Step 5: Solve for x
    x = 120,898,071,616/159,363
  6. Step 6: Final answer
    x = 758,633.26

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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.