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Finding the Third Proportional to 173,162.75 and 259,047.50

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Solution

The third proportional to 173,162.75 and 259,047.50 is: 387,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,162.75 : 259,047.50 = 259,047.50 : x
  2. Step 2: Convert to fraction form
    173,162.75/259,047.50 = 259,047.50/x
  3. Step 3: Cross multiply
    173,162.75x = 259,047.50 × 259,047.50
  4. Step 4: Simplify right side
    173,162.75x = 67,105,607,256.25
  5. Step 5: Solve for x
    x = 67,105,607,256.25/173,162.75
  6. Step 6: Final answer
    x = 387,529.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.