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Finding the Third Proportional to 174,939.12 and 381,530.88

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Solution

The third proportional to 174,939.12 and 381,530.88 is: 832,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,939.12 : 381,530.88 = 381,530.88 : x
  2. Step 2: Convert to fraction form
    174,939.12/381,530.88 = 381,530.88/x
  3. Step 3: Cross multiply
    174,939.12x = 381,530.88 × 381,530.88
  4. Step 4: Simplify right side
    174,939.12x = 145,565,814,539.69
  5. Step 5: Solve for x
    x = 145,565,814,539.69/174,939.12
  6. Step 6: Final answer
    x = 832,094.14

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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.