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Finding the Third Proportional to 131,398.50 and 203,007.75

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Solution

The third proportional to 131,398.50 and 203,007.75 is: 313,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,398.50 : 203,007.75 = 203,007.75 : x
  2. Step 2: Convert to fraction form
    131,398.50/203,007.75 = 203,007.75/x
  3. Step 3: Cross multiply
    131,398.50x = 203,007.75 × 203,007.75
  4. Step 4: Simplify right side
    131,398.50x = 41,212,146,560.06
  5. Step 5: Solve for x
    x = 41,212,146,560.06/131,398.50
  6. Step 6: Final answer
    x = 313,642.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.