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Finding the Third Proportional to 130,043.25 and 283,900.50

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Solution

The third proportional to 130,043.25 and 283,900.50 is: 619,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,043.25 : 283,900.50 = 283,900.50 : x
  2. Step 2: Convert to fraction form
    130,043.25/283,900.50 = 283,900.50/x
  3. Step 3: Cross multiply
    130,043.25x = 283,900.50 × 283,900.50
  4. Step 4: Simplify right side
    130,043.25x = 80,599,493,900.25
  5. Step 5: Solve for x
    x = 80,599,493,900.25/130,043.25
  6. Step 6: Final answer
    x = 619,789.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.