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Finding the Third Proportional to 140,429.53 and 228,149.16

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Solution

The third proportional to 140,429.53 and 228,149.16 is: 370,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,429.53 : 228,149.16 = 228,149.16 : x
  2. Step 2: Convert to fraction form
    140,429.53/228,149.16 = 228,149.16/x
  3. Step 3: Cross multiply
    140,429.53x = 228,149.16 × 228,149.16
  4. Step 4: Simplify right side
    140,429.53x = 52,052,037,497.59
  5. Step 5: Solve for x
    x = 52,052,037,497.59/140,429.53
  6. Step 6: Final answer
    x = 370,663.04

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.