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Finding the Third Proportional to 181,814.63 and 396,677.25

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Solution

The third proportional to 181,814.63 and 396,677.25 is: 865,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,814.63 : 396,677.25 = 396,677.25 : x
  2. Step 2: Convert to fraction form
    181,814.63/396,677.25 = 396,677.25/x
  3. Step 3: Cross multiply
    181,814.63x = 396,677.25 × 396,677.25
  4. Step 4: Simplify right side
    181,814.63x = 157,352,840,667.56
  5. Step 5: Solve for x
    x = 157,352,840,667.56/181,814.63
  6. Step 6: Final answer
    x = 865,457.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.