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Finding the Third Proportional to 150,228 and 233,955

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Solution

The third proportional to 150,228 and 233,955 is: 364,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,228 : 233,955 = 233,955 : x
  2. Step 2: Convert to fraction form
    150,228/233,955 = 233,955/x
  3. Step 3: Cross multiply
    150,228x = 233,955 × 233,955
  4. Step 4: Simplify right side
    150,228x = 54,734,942,025
  5. Step 5: Solve for x
    x = 54,734,942,025/150,228
  6. Step 6: Final answer
    x = 364,345.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.