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Finding the Third Proportional to 156,051.56 and 368,152.59

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Solution

The third proportional to 156,051.56 and 368,152.59 is: 868,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,051.56 : 368,152.59 = 368,152.59 : x
  2. Step 2: Convert to fraction form
    156,051.56/368,152.59 = 368,152.59/x
  3. Step 3: Cross multiply
    156,051.56x = 368,152.59 × 368,152.59
  4. Step 4: Simplify right side
    156,051.56x = 135,536,332,284.85
  5. Step 5: Solve for x
    x = 135,536,332,284.85/156,051.56
  6. Step 6: Final answer
    x = 868,535.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.