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Finding the Third Proportional to 148,649 and 223,022

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Solution

The third proportional to 148,649 and 223,022 is: 334,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,649 : 223,022 = 223,022 : x
  2. Step 2: Convert to fraction form
    148,649/223,022 = 223,022/x
  3. Step 3: Cross multiply
    148,649x = 223,022 × 223,022
  4. Step 4: Simplify right side
    148,649x = 49,738,812,484
  5. Step 5: Solve for x
    x = 49,738,812,484/148,649
  6. Step 6: Final answer
    x = 334,605.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.