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Finding the Third Proportional to 134,439.75 and 295,123.50

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Solution

The third proportional to 134,439.75 and 295,123.50 is: 647,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,439.75 : 295,123.50 = 295,123.50 : x
  2. Step 2: Convert to fraction form
    134,439.75/295,123.50 = 295,123.50/x
  3. Step 3: Cross multiply
    134,439.75x = 295,123.50 × 295,123.50
  4. Step 4: Simplify right side
    134,439.75x = 87,097,880,252.25
  5. Step 5: Solve for x
    x = 87,097,880,252.25/134,439.75
  6. Step 6: Final answer
    x = 647,858.09

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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.