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Finding the Third Proportional to 150,486.75 and 233,764.88

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Solution

The third proportional to 150,486.75 and 233,764.88 is: 363,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,486.75 : 233,764.88 = 233,764.88 : x
  2. Step 2: Convert to fraction form
    150,486.75/233,764.88 = 233,764.88/x
  3. Step 3: Cross multiply
    150,486.75x = 233,764.88 × 233,764.88
  4. Step 4: Simplify right side
    150,486.75x = 54,646,016,783.77
  5. Step 5: Solve for x
    x = 54,646,016,783.77/150,486.75
  6. Step 6: Final answer
    x = 363,128.43

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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.