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Finding the Third Proportional to 238,436.06 and 334,167.38

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Solution

The third proportional to 238,436.06 and 334,167.38 is: 468,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,436.06 : 334,167.38 = 334,167.38 : x
  2. Step 2: Convert to fraction form
    238,436.06/334,167.38 = 334,167.38/x
  3. Step 3: Cross multiply
    238,436.06x = 334,167.38 × 334,167.38
  4. Step 4: Simplify right side
    238,436.06x = 111,667,834,514.39
  5. Step 5: Solve for x
    x = 111,667,834,514.39/238,436.06
  6. Step 6: Final answer
    x = 468,334.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.