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Finding the Third Proportional to 150,504.75 and 233,292.38

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Solution

The third proportional to 150,504.75 and 233,292.38 is: 361,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,504.75 : 233,292.38 = 233,292.38 : x
  2. Step 2: Convert to fraction form
    150,504.75/233,292.38 = 233,292.38/x
  3. Step 3: Cross multiply
    150,504.75x = 233,292.38 × 233,292.38
  4. Step 4: Simplify right side
    150,504.75x = 54,425,332,233.14
  5. Step 5: Solve for x
    x = 54,425,332,233.14/150,504.75
  6. Step 6: Final answer
    x = 361,618.70

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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.