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Finding the Third Proportional to 202,648.50 and 440,972.25

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Solution

The third proportional to 202,648.50 and 440,972.25 is: 959,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648.50 : 440,972.25 = 440,972.25 : x
  2. Step 2: Convert to fraction form
    202,648.50/440,972.25 = 440,972.25/x
  3. Step 3: Cross multiply
    202,648.50x = 440,972.25 × 440,972.25
  4. Step 4: Simplify right side
    202,648.50x = 194,456,525,270.06
  5. Step 5: Solve for x
    x = 194,456,525,270.06/202,648.50
  6. Step 6: Final answer
    x = 959,575.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.