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Finding the Third Proportional to 103,674.94 and 227,058.19

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Solution

The third proportional to 103,674.94 and 227,058.19 is: 497,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674.94 : 227,058.19 = 227,058.19 : x
  2. Step 2: Convert to fraction form
    103,674.94/227,058.19 = 227,058.19/x
  3. Step 3: Cross multiply
    103,674.94x = 227,058.19 × 227,058.19
  4. Step 4: Simplify right side
    103,674.94x = 51,555,420,510.79
  5. Step 5: Solve for x
    x = 51,555,420,510.79/103,674.94
  6. Step 6: Final answer
    x = 497,279.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.