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Finding the Third Proportional to 185,014.13 and 398,094.75

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Solution

The third proportional to 185,014.13 and 398,094.75 is: 856,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,014.13 : 398,094.75 = 398,094.75 : x
  2. Step 2: Convert to fraction form
    185,014.13/398,094.75 = 398,094.75/x
  3. Step 3: Cross multiply
    185,014.13x = 398,094.75 × 398,094.75
  4. Step 4: Simplify right side
    185,014.13x = 158,479,429,977.56
  5. Step 5: Solve for x
    x = 158,479,429,977.56/185,014.13
  6. Step 6: Final answer
    x = 856,580.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.