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Finding the Third Proportional to 169,854 and 347,078

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Solution

The third proportional to 169,854 and 347,078 is: 709,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,854 : 347,078 = 347,078 : x
  2. Step 2: Convert to fraction form
    169,854/347,078 = 347,078/x
  3. Step 3: Cross multiply
    169,854x = 347,078 × 347,078
  4. Step 4: Simplify right side
    169,854x = 120,463,138,084
  5. Step 5: Solve for x
    x = 120,463,138,084/169,854
  6. Step 6: Final answer
    x = 709,215.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.