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Finding the Third Proportional to 205,429.50 and 439,857

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Solution

The third proportional to 205,429.50 and 439,857 is: 941,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429.50 : 439,857 = 439,857 : x
  2. Step 2: Convert to fraction form
    205,429.50/439,857 = 439,857/x
  3. Step 3: Cross multiply
    205,429.50x = 439,857 × 439,857
  4. Step 4: Simplify right side
    205,429.50x = 193,474,180,449
  5. Step 5: Solve for x
    x = 193,474,180,449/205,429.50
  6. Step 6: Final answer
    x = 941,803.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.