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Finding the Third Proportional to 150,723.28 and 233,274.94

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Solution

The third proportional to 150,723.28 and 233,274.94 is: 361,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,723.28 : 233,274.94 = 233,274.94 : x
  2. Step 2: Convert to fraction form
    150,723.28/233,274.94 = 233,274.94/x
  3. Step 3: Cross multiply
    150,723.28x = 233,274.94 × 233,274.94
  4. Step 4: Simplify right side
    150,723.28x = 54,417,196,465.63
  5. Step 5: Solve for x
    x = 54,417,196,465.63/150,723.28
  6. Step 6: Final answer
    x = 361,040.42

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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.