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Finding the Third Proportional to 147,058.88 and 227,194.88

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Solution

The third proportional to 147,058.88 and 227,194.88 is: 350,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,058.88 : 227,194.88 = 227,194.88 : x
  2. Step 2: Convert to fraction form
    147,058.88/227,194.88 = 227,194.88/x
  3. Step 3: Cross multiply
    147,058.88x = 227,194.88 × 227,194.88
  4. Step 4: Simplify right side
    147,058.88x = 51,617,511,226.27
  5. Step 5: Solve for x
    x = 51,617,511,226.27/147,058.88
  6. Step 6: Final answer
    x = 350,998.95

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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.