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Finding the Third Proportional to 140,529.94 and 301,137.75

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Solution

The third proportional to 140,529.94 and 301,137.75 is: 645,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,529.94 : 301,137.75 = 301,137.75 : x
  2. Step 2: Convert to fraction form
    140,529.94/301,137.75 = 301,137.75/x
  3. Step 3: Cross multiply
    140,529.94x = 301,137.75 × 301,137.75
  4. Step 4: Simplify right side
    140,529.94x = 90,683,944,475.06
  5. Step 5: Solve for x
    x = 90,683,944,475.06/140,529.94
  6. Step 6: Final answer
    x = 645,299.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.