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Finding the Third Proportional to 174,961.69 and 271,433.53

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Solution

The third proportional to 174,961.69 and 271,433.53 is: 421,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,961.69 : 271,433.53 = 271,433.53 : x
  2. Step 2: Convert to fraction form
    174,961.69/271,433.53 = 271,433.53/x
  3. Step 3: Cross multiply
    174,961.69x = 271,433.53 × 271,433.53
  4. Step 4: Simplify right side
    174,961.69x = 73,676,161,886.84
  5. Step 5: Solve for x
    x = 73,676,161,886.84/174,961.69
  6. Step 6: Final answer
    x = 421,098.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.