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Finding the Third Proportional to 191,464.50 and 398,685

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Solution

The third proportional to 191,464.50 and 398,685 is: 830,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,464.50 : 398,685 = 398,685 : x
  2. Step 2: Convert to fraction form
    191,464.50/398,685 = 398,685/x
  3. Step 3: Cross multiply
    191,464.50x = 398,685 × 398,685
  4. Step 4: Simplify right side
    191,464.50x = 158,949,729,225
  5. Step 5: Solve for x
    x = 158,949,729,225/191,464.50
  6. Step 6: Final answer
    x = 830,178.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.