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Finding the Third Proportional to 233,398.50 and 342,672

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Solution

The third proportional to 233,398.50 and 342,672 is: 503,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,398.50 : 342,672 = 342,672 : x
  2. Step 2: Convert to fraction form
    233,398.50/342,672 = 342,672/x
  3. Step 3: Cross multiply
    233,398.50x = 342,672 × 342,672
  4. Step 4: Simplify right side
    233,398.50x = 117,424,099,584
  5. Step 5: Solve for x
    x = 117,424,099,584/233,398.50
  6. Step 6: Final answer
    x = 503,105.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.