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Finding the Third Proportional to 223,088 and 327,192

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Solution

The third proportional to 223,088 and 327,192 is: 479,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,088 : 327,192 = 327,192 : x
  2. Step 2: Convert to fraction form
    223,088/327,192 = 327,192/x
  3. Step 3: Cross multiply
    223,088x = 327,192 × 327,192
  4. Step 4: Simplify right side
    223,088x = 107,054,604,864
  5. Step 5: Solve for x
    x = 107,054,604,864/223,088
  6. Step 6: Final answer
    x = 479,876.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.