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Finding the Third Proportional to 194,453.16 and 415,879.31

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Solution

The third proportional to 194,453.16 and 415,879.31 is: 889,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,453.16 : 415,879.31 = 415,879.31 : x
  2. Step 2: Convert to fraction form
    194,453.16/415,879.31 = 415,879.31/x
  3. Step 3: Cross multiply
    194,453.16x = 415,879.31 × 415,879.31
  4. Step 4: Simplify right side
    194,453.16x = 172,955,602,565.47
  5. Step 5: Solve for x
    x = 172,955,602,565.47/194,453.16
  6. Step 6: Final answer
    x = 889,446.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.