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Finding the Third Proportional to 232,260.75 and 339,427.13

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Solution

The third proportional to 232,260.75 and 339,427.13 is: 496,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,260.75 : 339,427.13 = 339,427.13 : x
  2. Step 2: Convert to fraction form
    232,260.75/339,427.13 = 339,427.13/x
  3. Step 3: Cross multiply
    232,260.75x = 339,427.13 × 339,427.13
  4. Step 4: Simplify right side
    232,260.75x = 115,210,773,185.77
  5. Step 5: Solve for x
    x = 115,210,773,185.77/232,260.75
  6. Step 6: Final answer
    x = 496,040.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.