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Finding the Third Proportional to 198,040 and 309,210

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Solution

The third proportional to 198,040 and 309,210 is: 482,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,040 : 309,210 = 309,210 : x
  2. Step 2: Convert to fraction form
    198,040/309,210 = 309,210/x
  3. Step 3: Cross multiply
    198,040x = 309,210 × 309,210
  4. Step 4: Simplify right side
    198,040x = 95,610,824,100
  5. Step 5: Solve for x
    x = 95,610,824,100/198,040
  6. Step 6: Final answer
    x = 482,785.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.