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Finding the Third Proportional to 205,241.50 and 441,047

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Solution

The third proportional to 205,241.50 and 441,047 is: 947,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,241.50 : 441,047 = 441,047 : x
  2. Step 2: Convert to fraction form
    205,241.50/441,047 = 441,047/x
  3. Step 3: Cross multiply
    205,241.50x = 441,047 × 441,047
  4. Step 4: Simplify right side
    205,241.50x = 194,522,456,209
  5. Step 5: Solve for x
    x = 194,522,456,209/205,241.50
  6. Step 6: Final answer
    x = 947,773.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.