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Finding the Third Proportional to 135,077.63 and 315,550.69

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Solution

The third proportional to 135,077.63 and 315,550.69 is: 737,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,077.63 : 315,550.69 = 315,550.69 : x
  2. Step 2: Convert to fraction form
    135,077.63/315,550.69 = 315,550.69/x
  3. Step 3: Cross multiply
    135,077.63x = 315,550.69 × 315,550.69
  4. Step 4: Simplify right side
    135,077.63x = 99,572,236,381.72
  5. Step 5: Solve for x
    x = 99,572,236,381.72/135,077.63
  6. Step 6: Final answer
    x = 737,148.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.