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Finding the Third Proportional to 197,176 and 427,564

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Solution

The third proportional to 197,176 and 427,564 is: 927,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,176 : 427,564 = 427,564 : x
  2. Step 2: Convert to fraction form
    197,176/427,564 = 427,564/x
  3. Step 3: Cross multiply
    197,176x = 427,564 × 427,564
  4. Step 4: Simplify right side
    197,176x = 182,810,974,096
  5. Step 5: Solve for x
    x = 182,810,974,096/197,176
  6. Step 6: Final answer
    x = 927,146.17

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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.