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Finding the Third Proportional to 238,716 and 323,058

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Solution

The third proportional to 238,716 and 323,058 is: 437,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,716 : 323,058 = 323,058 : x
  2. Step 2: Convert to fraction form
    238,716/323,058 = 323,058/x
  3. Step 3: Cross multiply
    238,716x = 323,058 × 323,058
  4. Step 4: Simplify right side
    238,716x = 104,366,471,364
  5. Step 5: Solve for x
    x = 104,366,471,364/238,716
  6. Step 6: Final answer
    x = 437,199.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.