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Finding the Third Proportional to 344,151.75 and 382,902.75

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Solution

The third proportional to 344,151.75 and 382,902.75 is: 426,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,151.75 : 382,902.75 = 382,902.75 : x
  2. Step 2: Convert to fraction form
    344,151.75/382,902.75 = 382,902.75/x
  3. Step 3: Cross multiply
    344,151.75x = 382,902.75 × 382,902.75
  4. Step 4: Simplify right side
    344,151.75x = 146,614,515,957.56
  5. Step 5: Solve for x
    x = 146,614,515,957.56/344,151.75
  6. Step 6: Final answer
    x = 426,017.06

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.