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Finding the Third Proportional to 233,349.75 and 352,173.38

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Solution

The third proportional to 233,349.75 and 352,173.38 is: 531,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,349.75 : 352,173.38 = 352,173.38 : x
  2. Step 2: Convert to fraction form
    233,349.75/352,173.38 = 352,173.38/x
  3. Step 3: Cross multiply
    233,349.75x = 352,173.38 × 352,173.38
  4. Step 4: Simplify right side
    233,349.75x = 124,026,086,058.89
  5. Step 5: Solve for x
    x = 124,026,086,058.89/233,349.75
  6. Step 6: Final answer
    x = 531,502.97

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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.