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Finding the Third Proportional to 154,348 and 327,644

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Solution

The third proportional to 154,348 and 327,644 is: 695,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,348 : 327,644 = 327,644 : x
  2. Step 2: Convert to fraction form
    154,348/327,644 = 327,644/x
  3. Step 3: Cross multiply
    154,348x = 327,644 × 327,644
  4. Step 4: Simplify right side
    154,348x = 107,350,590,736
  5. Step 5: Solve for x
    x = 107,350,590,736/154,348
  6. Step 6: Final answer
    x = 695,510.09

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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.