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Finding the Third Proportional to 147,944.44 and 323,566.69

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Solution

The third proportional to 147,944.44 and 323,566.69 is: 707,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,944.44 : 323,566.69 = 323,566.69 : x
  2. Step 2: Convert to fraction form
    147,944.44/323,566.69 = 323,566.69/x
  3. Step 3: Cross multiply
    147,944.44x = 323,566.69 × 323,566.69
  4. Step 4: Simplify right side
    147,944.44x = 104,695,401,259.72
  5. Step 5: Solve for x
    x = 104,695,401,259.72/147,944.44
  6. Step 6: Final answer
    x = 707,667.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.