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Finding the Third Proportional to 177,889.50 and 260,172

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Solution

The third proportional to 177,889.50 and 260,172 is: 380,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,889.50 : 260,172 = 260,172 : x
  2. Step 2: Convert to fraction form
    177,889.50/260,172 = 260,172/x
  3. Step 3: Cross multiply
    177,889.50x = 260,172 × 260,172
  4. Step 4: Simplify right side
    177,889.50x = 67,689,469,584
  5. Step 5: Solve for x
    x = 67,689,469,584/177,889.50
  6. Step 6: Final answer
    x = 380,514.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.