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Finding the Third Proportional to 115,734 and 180,367.50

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Solution

The third proportional to 115,734 and 180,367.50 is: 281,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,734 : 180,367.50 = 180,367.50 : x
  2. Step 2: Convert to fraction form
    115,734/180,367.50 = 180,367.50/x
  3. Step 3: Cross multiply
    115,734x = 180,367.50 × 180,367.50
  4. Step 4: Simplify right side
    115,734x = 32,532,435,056.25
  5. Step 5: Solve for x
    x = 32,532,435,056.25/115,734
  6. Step 6: Final answer
    x = 281,096.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.