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Finding the Third Proportional to 232,887.66 and 350,497.13

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Solution

The third proportional to 232,887.66 and 350,497.13 is: 527,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,887.66 : 350,497.13 = 350,497.13 : x
  2. Step 2: Convert to fraction form
    232,887.66/350,497.13 = 350,497.13/x
  3. Step 3: Cross multiply
    232,887.66x = 350,497.13 × 350,497.13
  4. Step 4: Simplify right side
    232,887.66x = 122,848,234,633.27
  5. Step 5: Solve for x
    x = 122,848,234,633.27/232,887.66
  6. Step 6: Final answer
    x = 527,499.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.