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Finding the Third Proportional to 191,205 and 394,690.50

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Solution

The third proportional to 191,205 and 394,690.50 is: 814,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,205 : 394,690.50 = 394,690.50 : x
  2. Step 2: Convert to fraction form
    191,205/394,690.50 = 394,690.50/x
  3. Step 3: Cross multiply
    191,205x = 394,690.50 × 394,690.50
  4. Step 4: Simplify right side
    191,205x = 155,780,590,790.25
  5. Step 5: Solve for x
    x = 155,780,590,790.25/191,205
  6. Step 6: Final answer
    x = 814,730.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.