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Finding the Third Proportional to 173,071.69 and 261,916.03

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Solution

The third proportional to 173,071.69 and 261,916.03 is: 396,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,071.69 : 261,916.03 = 261,916.03 : x
  2. Step 2: Convert to fraction form
    173,071.69/261,916.03 = 261,916.03/x
  3. Step 3: Cross multiply
    173,071.69x = 261,916.03 × 261,916.03
  4. Step 4: Simplify right side
    173,071.69x = 68,600,007,425.75
  5. Step 5: Solve for x
    x = 68,600,007,425.75/173,071.69
  6. Step 6: Final answer
    x = 396,367.59

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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.