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Finding the Third Proportional to 133,933.25 and 207,515

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Solution

The third proportional to 133,933.25 and 207,515 is: 321,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,933.25 : 207,515 = 207,515 : x
  2. Step 2: Convert to fraction form
    133,933.25/207,515 = 207,515/x
  3. Step 3: Cross multiply
    133,933.25x = 207,515 × 207,515
  4. Step 4: Simplify right side
    133,933.25x = 43,062,475,225
  5. Step 5: Solve for x
    x = 43,062,475,225/133,933.25
  6. Step 6: Final answer
    x = 321,521.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.