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Finding the Third Proportional to 205,243.50 and 441,051

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Solution

The third proportional to 205,243.50 and 441,051 is: 947,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,243.50 : 441,051 = 441,051 : x
  2. Step 2: Convert to fraction form
    205,243.50/441,051 = 441,051/x
  3. Step 3: Cross multiply
    205,243.50x = 441,051 × 441,051
  4. Step 4: Simplify right side
    205,243.50x = 194,525,984,601
  5. Step 5: Solve for x
    x = 194,525,984,601/205,243.50
  6. Step 6: Final answer
    x = 947,781.46

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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.