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Finding the Third Proportional to 203,617 and 310,692

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Solution

The third proportional to 203,617 and 310,692 is: 474,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,617 : 310,692 = 310,692 : x
  2. Step 2: Convert to fraction form
    203,617/310,692 = 310,692/x
  3. Step 3: Cross multiply
    203,617x = 310,692 × 310,692
  4. Step 4: Simplify right side
    203,617x = 96,529,518,864
  5. Step 5: Solve for x
    x = 96,529,518,864/203,617
  6. Step 6: Final answer
    x = 474,073.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.