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Finding the Third Proportional to 194,546.81 and 425,999.25

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Solution

The third proportional to 194,546.81 and 425,999.25 is: 932,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,546.81 : 425,999.25 = 425,999.25 : x
  2. Step 2: Convert to fraction form
    194,546.81/425,999.25 = 425,999.25/x
  3. Step 3: Cross multiply
    194,546.81x = 425,999.25 × 425,999.25
  4. Step 4: Simplify right side
    194,546.81x = 181,475,361,000.56
  5. Step 5: Solve for x
    x = 181,475,361,000.56/194,546.81
  6. Step 6: Final answer
    x = 932,810.77

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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.