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Finding the Third Proportional to 142,944.75 and 310,508.44

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Solution

The third proportional to 142,944.75 and 310,508.44 is: 674,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,944.75 : 310,508.44 = 310,508.44 : x
  2. Step 2: Convert to fraction form
    142,944.75/310,508.44 = 310,508.44/x
  3. Step 3: Cross multiply
    142,944.75x = 310,508.44 × 310,508.44
  4. Step 4: Simplify right side
    142,944.75x = 96,415,489,758.69
  5. Step 5: Solve for x
    x = 96,415,489,758.69/142,944.75
  6. Step 6: Final answer
    x = 674,494.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.