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Finding the Third Proportional to 173,157.75 and 259,039.69

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Solution

The third proportional to 173,157.75 and 259,039.69 is: 387,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,157.75 : 259,039.69 = 259,039.69 : x
  2. Step 2: Convert to fraction form
    173,157.75/259,039.69 = 259,039.69/x
  3. Step 3: Cross multiply
    173,157.75x = 259,039.69 × 259,039.69
  4. Step 4: Simplify right side
    173,157.75x = 67,101,559,700.10
  5. Step 5: Solve for x
    x = 67,101,559,700.10/173,157.75
  6. Step 6: Final answer
    x = 387,516.93

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Why These Related Problems?

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