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Finding the Third Proportional to 173,858 and 366,708

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Solution

The third proportional to 173,858 and 366,708 is: 773,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,858 : 366,708 = 366,708 : x
  2. Step 2: Convert to fraction form
    173,858/366,708 = 366,708/x
  3. Step 3: Cross multiply
    173,858x = 366,708 × 366,708
  4. Step 4: Simplify right side
    173,858x = 134,474,757,264
  5. Step 5: Solve for x
    x = 134,474,757,264/173,858
  6. Step 6: Final answer
    x = 773,474.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.