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Finding the Third Proportional to 271,161 and 563,827.50

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Solution

The third proportional to 271,161 and 563,827.50 is: 1,172,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,161 : 563,827.50 = 563,827.50 : x
  2. Step 2: Convert to fraction form
    271,161/563,827.50 = 563,827.50/x
  3. Step 3: Cross multiply
    271,161x = 563,827.50 × 563,827.50
  4. Step 4: Simplify right side
    271,161x = 317,901,449,756.25
  5. Step 5: Solve for x
    x = 317,901,449,756.25/271,161
  6. Step 6: Final answer
    x = 1,172,371.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.