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Finding the Third Proportional to 142,383.38 and 313,188.75

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Solution

The third proportional to 142,383.38 and 313,188.75 is: 688,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,383.38 : 313,188.75 = 313,188.75 : x
  2. Step 2: Convert to fraction form
    142,383.38/313,188.75 = 313,188.75/x
  3. Step 3: Cross multiply
    142,383.38x = 313,188.75 × 313,188.75
  4. Step 4: Simplify right side
    142,383.38x = 98,087,193,126.56
  5. Step 5: Solve for x
    x = 98,087,193,126.56/142,383.38
  6. Step 6: Final answer
    x = 688,894.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.