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Finding the Third Proportional to 134,340.75 and 283,261.50

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Solution

The third proportional to 134,340.75 and 283,261.50 is: 597,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,340.75 : 283,261.50 = 283,261.50 : x
  2. Step 2: Convert to fraction form
    134,340.75/283,261.50 = 283,261.50/x
  3. Step 3: Cross multiply
    134,340.75x = 283,261.50 × 283,261.50
  4. Step 4: Simplify right side
    134,340.75x = 80,237,077,382.25
  5. Step 5: Solve for x
    x = 80,237,077,382.25/134,340.75
  6. Step 6: Final answer
    x = 597,265.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.