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Finding the Third Proportional to 140,467.50 and 301,033.13

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Solution

The third proportional to 140,467.50 and 301,033.13 is: 645,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,467.50 : 301,033.13 = 301,033.13 : x
  2. Step 2: Convert to fraction form
    140,467.50/301,033.13 = 301,033.13/x
  3. Step 3: Cross multiply
    140,467.50x = 301,033.13 × 301,033.13
  4. Step 4: Simplify right side
    140,467.50x = 90,620,942,347.27
  5. Step 5: Solve for x
    x = 90,620,942,347.27/140,467.50
  6. Step 6: Final answer
    x = 645,138.14

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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.