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Finding the Third Proportional to 158,490.75 and 232,046.25

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Solution

The third proportional to 158,490.75 and 232,046.25 is: 339,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,490.75 : 232,046.25 = 232,046.25 : x
  2. Step 2: Convert to fraction form
    158,490.75/232,046.25 = 232,046.25/x
  3. Step 3: Cross multiply
    158,490.75x = 232,046.25 × 232,046.25
  4. Step 4: Simplify right side
    158,490.75x = 53,845,462,139.06
  5. Step 5: Solve for x
    x = 53,845,462,139.06/158,490.75
  6. Step 6: Final answer
    x = 339,738.83

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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.