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Finding the Third Proportional to 173,107.13 and 260,799.75

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Solution

The third proportional to 173,107.13 and 260,799.75 is: 392,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,107.13 : 260,799.75 = 260,799.75 : x
  2. Step 2: Convert to fraction form
    173,107.13/260,799.75 = 260,799.75/x
  3. Step 3: Cross multiply
    173,107.13x = 260,799.75 × 260,799.75
  4. Step 4: Simplify right side
    173,107.13x = 68,016,509,600.06
  5. Step 5: Solve for x
    x = 68,016,509,600.06/173,107.13
  6. Step 6: Final answer
    x = 392,915.71

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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.