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Finding the Third Proportional to 154,700 and 327,703

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Solution

The third proportional to 154,700 and 327,703 is: 694,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,700 : 327,703 = 327,703 : x
  2. Step 2: Convert to fraction form
    154,700/327,703 = 327,703/x
  3. Step 3: Cross multiply
    154,700x = 327,703 × 327,703
  4. Step 4: Simplify right side
    154,700x = 107,389,256,209
  5. Step 5: Solve for x
    x = 107,389,256,209/154,700
  6. Step 6: Final answer
    x = 694,177.48

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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.