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Finding the Third Proportional to 140,429.25 and 292,520.25

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Solution

The third proportional to 140,429.25 and 292,520.25 is: 609,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,429.25 : 292,520.25 = 292,520.25 : x
  2. Step 2: Convert to fraction form
    140,429.25/292,520.25 = 292,520.25/x
  3. Step 3: Cross multiply
    140,429.25x = 292,520.25 × 292,520.25
  4. Step 4: Simplify right side
    140,429.25x = 85,568,096,660.06
  5. Step 5: Solve for x
    x = 85,568,096,660.06/140,429.25
  6. Step 6: Final answer
    x = 609,332.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.