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Finding the Third Proportional to 259,172.50 and 386,759.75

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Solution

The third proportional to 259,172.50 and 386,759.75 is: 577,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,172.50 : 386,759.75 = 386,759.75 : x
  2. Step 2: Convert to fraction form
    259,172.50/386,759.75 = 386,759.75/x
  3. Step 3: Cross multiply
    259,172.50x = 386,759.75 × 386,759.75
  4. Step 4: Simplify right side
    259,172.50x = 149,583,104,220.06
  5. Step 5: Solve for x
    x = 149,583,104,220.06/259,172.50
  6. Step 6: Final answer
    x = 577,156.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.