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Finding the Third Proportional to 173,168 and 259,758

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Solution

The third proportional to 173,168 and 259,758 is: 389,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,168 : 259,758 = 259,758 : x
  2. Step 2: Convert to fraction form
    173,168/259,758 = 259,758/x
  3. Step 3: Cross multiply
    173,168x = 259,758 × 259,758
  4. Step 4: Simplify right side
    173,168x = 67,474,218,564
  5. Step 5: Solve for x
    x = 67,474,218,564/173,168
  6. Step 6: Final answer
    x = 389,646.00

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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.