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Finding the Third Proportional to 195,922.50 and 400,146

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Solution

The third proportional to 195,922.50 and 400,146 is: 817,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,922.50 : 400,146 = 400,146 : x
  2. Step 2: Convert to fraction form
    195,922.50/400,146 = 400,146/x
  3. Step 3: Cross multiply
    195,922.50x = 400,146 × 400,146
  4. Step 4: Simplify right side
    195,922.50x = 160,116,821,316
  5. Step 5: Solve for x
    x = 160,116,821,316/195,922.50
  6. Step 6: Final answer
    x = 817,245.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.