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Finding the Third Proportional to 194,025.38 and 289,843.31

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Solution

The third proportional to 194,025.38 and 289,843.31 is: 432,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,025.38 : 289,843.31 = 289,843.31 : x
  2. Step 2: Convert to fraction form
    194,025.38/289,843.31 = 289,843.31/x
  3. Step 3: Cross multiply
    194,025.38x = 289,843.31 × 289,843.31
  4. Step 4: Simplify right side
    194,025.38x = 84,009,145,800.97
  5. Step 5: Solve for x
    x = 84,009,145,800.97/194,025.38
  6. Step 6: Final answer
    x = 432,980.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.