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Finding the Third Proportional to 197,551 and 427,015

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Solution

The third proportional to 197,551 and 427,015 is: 923,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,551 : 427,015 = 427,015 : x
  2. Step 2: Convert to fraction form
    197,551/427,015 = 427,015/x
  3. Step 3: Cross multiply
    197,551x = 427,015 × 427,015
  4. Step 4: Simplify right side
    197,551x = 182,341,810,225
  5. Step 5: Solve for x
    x = 182,341,810,225/197,551
  6. Step 6: Final answer
    x = 923,011.32

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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.