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Finding the Third Proportional to 197,164 and 427,544

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Solution

The third proportional to 197,164 and 427,544 is: 927,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,164 : 427,544 = 427,544 : x
  2. Step 2: Convert to fraction form
    197,164/427,544 = 427,544/x
  3. Step 3: Cross multiply
    197,164x = 427,544 × 427,544
  4. Step 4: Simplify right side
    197,164x = 182,793,871,936
  5. Step 5: Solve for x
    x = 182,793,871,936/197,164
  6. Step 6: Final answer
    x = 927,115.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.