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Finding the Third Proportional to 154,279.69 and 233,059.78

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Solution

The third proportional to 154,279.69 and 233,059.78 is: 352,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,279.69 : 233,059.78 = 233,059.78 : x
  2. Step 2: Convert to fraction form
    154,279.69/233,059.78 = 233,059.78/x
  3. Step 3: Cross multiply
    154,279.69x = 233,059.78 × 233,059.78
  4. Step 4: Simplify right side
    154,279.69x = 54,316,861,636.30
  5. Step 5: Solve for x
    x = 54,316,861,636.30/154,279.69
  6. Step 6: Final answer
    x = 352,067.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.