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Finding the Third Proportional to 140,923.13 and 248,367.94

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Solution

The third proportional to 140,923.13 and 248,367.94 is: 437,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,923.13 : 248,367.94 = 248,367.94 : x
  2. Step 2: Convert to fraction form
    140,923.13/248,367.94 = 248,367.94/x
  3. Step 3: Cross multiply
    140,923.13x = 248,367.94 × 248,367.94
  4. Step 4: Simplify right side
    140,923.13x = 61,686,632,378.00
  5. Step 5: Solve for x
    x = 61,686,632,378.00/140,923.13
  6. Step 6: Final answer
    x = 437,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.