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Finding the Third Proportional to 143,959.50 and 227,785.50

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Solution

The third proportional to 143,959.50 and 227,785.50 is: 360,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,959.50 : 227,785.50 = 227,785.50 : x
  2. Step 2: Convert to fraction form
    143,959.50/227,785.50 = 227,785.50/x
  3. Step 3: Cross multiply
    143,959.50x = 227,785.50 × 227,785.50
  4. Step 4: Simplify right side
    143,959.50x = 51,886,234,010.25
  5. Step 5: Solve for x
    x = 51,886,234,010.25/143,959.50
  6. Step 6: Final answer
    x = 360,422.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.