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Finding the Third Proportional to 150,320.25 and 231,150.38

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Solution

The third proportional to 150,320.25 and 231,150.38 is: 355,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,320.25 : 231,150.38 = 231,150.38 : x
  2. Step 2: Convert to fraction form
    150,320.25/231,150.38 = 231,150.38/x
  3. Step 3: Cross multiply
    150,320.25x = 231,150.38 × 231,150.38
  4. Step 4: Simplify right side
    150,320.25x = 53,430,495,862.64
  5. Step 5: Solve for x
    x = 53,430,495,862.64/150,320.25
  6. Step 6: Final answer
    x = 355,444.43

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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.