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Finding the Third Proportional to 203,616 and 327,312

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Solution

The third proportional to 203,616 and 327,312 is: 526,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616 : 327,312 = 327,312 : x
  2. Step 2: Convert to fraction form
    203,616/327,312 = 327,312/x
  3. Step 3: Cross multiply
    203,616x = 327,312 × 327,312
  4. Step 4: Simplify right side
    203,616x = 107,133,145,344
  5. Step 5: Solve for x
    x = 107,133,145,344/203,616
  6. Step 6: Final answer
    x = 526,152.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.