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Finding the Third Proportional to 171,240.50 and 271,138

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Solution

The third proportional to 171,240.50 and 271,138 is: 429,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,240.50 : 271,138 = 271,138 : x
  2. Step 2: Convert to fraction form
    171,240.50/271,138 = 271,138/x
  3. Step 3: Cross multiply
    171,240.50x = 271,138 × 271,138
  4. Step 4: Simplify right side
    171,240.50x = 73,515,815,044
  5. Step 5: Solve for x
    x = 73,515,815,044/171,240.50
  6. Step 6: Final answer
    x = 429,313.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.