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Finding the Third Proportional to 142,000.17 and 303,947.86

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Solution

The third proportional to 142,000.17 and 303,947.86 is: 650,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.17 : 303,947.86 = 303,947.86 : x
  2. Step 2: Convert to fraction form
    142,000.17/303,947.86 = 303,947.86/x
  3. Step 3: Cross multiply
    142,000.17x = 303,947.86 × 303,947.86
  4. Step 4: Simplify right side
    142,000.17x = 92,384,301,218.64
  5. Step 5: Solve for x
    x = 92,384,301,218.64/142,000.17
  6. Step 6: Final answer
    x = 650,592.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.