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Finding the Third Proportional to 144,662 and 223,974

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Solution

The third proportional to 144,662 and 223,974 is: 346,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,662 : 223,974 = 223,974 : x
  2. Step 2: Convert to fraction form
    144,662/223,974 = 223,974/x
  3. Step 3: Cross multiply
    144,662x = 223,974 × 223,974
  4. Step 4: Simplify right side
    144,662x = 50,164,352,676
  5. Step 5: Solve for x
    x = 50,164,352,676/144,662
  6. Step 6: Final answer
    x = 346,769.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.