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Finding the Third Proportional to 154,703 and 327,709

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Solution

The third proportional to 154,703 and 327,709 is: 694,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,703 : 327,709 = 327,709 : x
  2. Step 2: Convert to fraction form
    154,703/327,709 = 327,709/x
  3. Step 3: Cross multiply
    154,703x = 327,709 × 327,709
  4. Step 4: Simplify right side
    154,703x = 107,393,188,681
  5. Step 5: Solve for x
    x = 107,393,188,681/154,703
  6. Step 6: Final answer
    x = 694,189.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.