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Finding the Third Proportional to 195,777 and 422,658

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Solution

The third proportional to 195,777 and 422,658 is: 912,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,777 : 422,658 = 422,658 : x
  2. Step 2: Convert to fraction form
    195,777/422,658 = 422,658/x
  3. Step 3: Cross multiply
    195,777x = 422,658 × 422,658
  4. Step 4: Simplify right side
    195,777x = 178,639,784,964
  5. Step 5: Solve for x
    x = 178,639,784,964/195,777
  6. Step 6: Final answer
    x = 912,465.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.