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Finding the Third Proportional to 90,584 and 196,777

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Solution

The third proportional to 90,584 and 196,777 is: 427,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,584 : 196,777 = 196,777 : x
  2. Step 2: Convert to fraction form
    90,584/196,777 = 196,777/x
  3. Step 3: Cross multiply
    90,584x = 196,777 × 196,777
  4. Step 4: Simplify right side
    90,584x = 38,721,187,729
  5. Step 5: Solve for x
    x = 38,721,187,729/90,584
  6. Step 6: Final answer
    x = 427,461.67

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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.