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Finding the Third Proportional to 173,260.88 and 259,186.50

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Solution

The third proportional to 173,260.88 and 259,186.50 is: 387,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,260.88 : 259,186.50 = 259,186.50 : x
  2. Step 2: Convert to fraction form
    173,260.88/259,186.50 = 259,186.50/x
  3. Step 3: Cross multiply
    173,260.88x = 259,186.50 × 259,186.50
  4. Step 4: Simplify right side
    173,260.88x = 67,177,641,782.25
  5. Step 5: Solve for x
    x = 67,177,641,782.25/173,260.88
  6. Step 6: Final answer
    x = 387,725.40

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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.