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Finding the Third Proportional to 144,672 and 223,980

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Solution

The third proportional to 144,672 and 223,980 is: 346,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,672 : 223,980 = 223,980 : x
  2. Step 2: Convert to fraction form
    144,672/223,980 = 223,980/x
  3. Step 3: Cross multiply
    144,672x = 223,980 × 223,980
  4. Step 4: Simplify right side
    144,672x = 50,167,040,400
  5. Step 5: Solve for x
    x = 50,167,040,400/144,672
  6. Step 6: Final answer
    x = 346,763.99

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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.