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Finding the Third Proportional to 144,667.50 and 223,980.75

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Solution

The third proportional to 144,667.50 and 223,980.75 is: 346,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,667.50 : 223,980.75 = 223,980.75 : x
  2. Step 2: Convert to fraction form
    144,667.50/223,980.75 = 223,980.75/x
  3. Step 3: Cross multiply
    144,667.50x = 223,980.75 × 223,980.75
  4. Step 4: Simplify right side
    144,667.50x = 50,167,376,370.56
  5. Step 5: Solve for x
    x = 50,167,376,370.56/144,667.50
  6. Step 6: Final answer
    x = 346,777.10

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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.