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Finding the Third Proportional to 90,506 and 198,724

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Solution

The third proportional to 90,506 and 198,724 is: 436,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,506 : 198,724 = 198,724 : x
  2. Step 2: Convert to fraction form
    90,506/198,724 = 198,724/x
  3. Step 3: Cross multiply
    90,506x = 198,724 × 198,724
  4. Step 4: Simplify right side
    90,506x = 39,491,228,176
  5. Step 5: Solve for x
    x = 39,491,228,176/90,506
  6. Step 6: Final answer
    x = 436,338.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.