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Finding the Third Proportional to 142,861.50 and 307,533.50

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Solution

The third proportional to 142,861.50 and 307,533.50 is: 662,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,861.50 : 307,533.50 = 307,533.50 : x
  2. Step 2: Convert to fraction form
    142,861.50/307,533.50 = 307,533.50/x
  3. Step 3: Cross multiply
    142,861.50x = 307,533.50 × 307,533.50
  4. Step 4: Simplify right side
    142,861.50x = 94,576,853,622.25
  5. Step 5: Solve for x
    x = 94,576,853,622.25/142,861.50
  6. Step 6: Final answer
    x = 662,017.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.