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Finding the Third Proportional to 195,776 and 427,510

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Solution

The third proportional to 195,776 and 427,510 is: 933,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,776 : 427,510 = 427,510 : x
  2. Step 2: Convert to fraction form
    195,776/427,510 = 427,510/x
  3. Step 3: Cross multiply
    195,776x = 427,510 × 427,510
  4. Step 4: Simplify right side
    195,776x = 182,764,800,100
  5. Step 5: Solve for x
    x = 182,764,800,100/195,776
  6. Step 6: Final answer
    x = 933,540.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.