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Finding the Third Proportional to 90,576 and 197,608

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Solution

The third proportional to 90,576 and 197,608 is: 431,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,576 : 197,608 = 197,608 : x
  2. Step 2: Convert to fraction form
    90,576/197,608 = 197,608/x
  3. Step 3: Cross multiply
    90,576x = 197,608 × 197,608
  4. Step 4: Simplify right side
    90,576x = 39,048,921,664
  5. Step 5: Solve for x
    x = 39,048,921,664/90,576
  6. Step 6: Final answer
    x = 431,117.75

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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.