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Finding the Third Proportional to 173,301.75 and 231,806.25

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Solution

The third proportional to 173,301.75 and 231,806.25 is: 310,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,301.75 : 231,806.25 = 231,806.25 : x
  2. Step 2: Convert to fraction form
    173,301.75/231,806.25 = 231,806.25/x
  3. Step 3: Cross multiply
    173,301.75x = 231,806.25 × 231,806.25
  4. Step 4: Simplify right side
    173,301.75x = 53,734,137,539.06
  5. Step 5: Solve for x
    x = 53,734,137,539.06/173,301.75
  6. Step 6: Final answer
    x = 310,061.14

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.