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Finding the Third Proportional to 203,881.50 and 441,363

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Solution

The third proportional to 203,881.50 and 441,363 is: 955,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,881.50 : 441,363 = 441,363 : x
  2. Step 2: Convert to fraction form
    203,881.50/441,363 = 441,363/x
  3. Step 3: Cross multiply
    203,881.50x = 441,363 × 441,363
  4. Step 4: Simplify right side
    203,881.50x = 194,801,297,769
  5. Step 5: Solve for x
    x = 194,801,297,769/203,881.50
  6. Step 6: Final answer
    x = 955,463.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.