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Finding the Third Proportional to 156,065.63 and 234,096.75

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Solution

The third proportional to 156,065.63 and 234,096.75 is: 351,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,065.63 : 234,096.75 = 234,096.75 : x
  2. Step 2: Convert to fraction form
    156,065.63/234,096.75 = 234,096.75/x
  3. Step 3: Cross multiply
    156,065.63x = 234,096.75 × 234,096.75
  4. Step 4: Simplify right side
    156,065.63x = 54,801,288,360.56
  5. Step 5: Solve for x
    x = 54,801,288,360.56/156,065.63
  6. Step 6: Final answer
    x = 351,142.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.