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Finding the Third Proportional to 195,736.50 and 260,253

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Solution

The third proportional to 195,736.50 and 260,253 is: 346,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,736.50 : 260,253 = 260,253 : x
  2. Step 2: Convert to fraction form
    195,736.50/260,253 = 260,253/x
  3. Step 3: Cross multiply
    195,736.50x = 260,253 × 260,253
  4. Step 4: Simplify right side
    195,736.50x = 67,731,624,009
  5. Step 5: Solve for x
    x = 67,731,624,009/195,736.50
  6. Step 6: Final answer
    x = 346,034.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.