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Finding the Third Proportional to 177,841 and 260,105

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Solution

The third proportional to 177,841 and 260,105 is: 380,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,841 : 260,105 = 260,105 : x
  2. Step 2: Convert to fraction form
    177,841/260,105 = 260,105/x
  3. Step 3: Cross multiply
    177,841x = 260,105 × 260,105
  4. Step 4: Simplify right side
    177,841x = 67,654,611,025
  5. Step 5: Solve for x
    x = 67,654,611,025/177,841
  6. Step 6: Final answer
    x = 380,421.90

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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.