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Finding the Third Proportional to 72,303.19 and 155,708.44

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Solution

The third proportional to 72,303.19 and 155,708.44 is: 335,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,303.19 : 155,708.44 = 155,708.44 : x
  2. Step 2: Convert to fraction form
    72,303.19/155,708.44 = 155,708.44/x
  3. Step 3: Cross multiply
    72,303.19x = 155,708.44 × 155,708.44
  4. Step 4: Simplify right side
    72,303.19x = 24,245,117,508.69
  5. Step 5: Solve for x
    x = 24,245,117,508.69/72,303.19
  6. Step 6: Final answer
    x = 335,325.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.