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Finding the Third Proportional to 142,033.50 and 310,791.94

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Solution

The third proportional to 142,033.50 and 310,791.94 is: 680,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,033.50 : 310,791.94 = 310,791.94 : x
  2. Step 2: Convert to fraction form
    142,033.50/310,791.94 = 310,791.94/x
  3. Step 3: Cross multiply
    142,033.50x = 310,791.94 × 310,791.94
  4. Step 4: Simplify right side
    142,033.50x = 96,591,628,415.00
  5. Step 5: Solve for x
    x = 96,591,628,415.00/142,033.50
  6. Step 6: Final answer
    x = 680,062.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.