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Finding the Third Proportional to 156,135 and 233,775

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Solution

The third proportional to 156,135 and 233,775 is: 350,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,135 : 233,775 = 233,775 : x
  2. Step 2: Convert to fraction form
    156,135/233,775 = 233,775/x
  3. Step 3: Cross multiply
    156,135x = 233,775 × 233,775
  4. Step 4: Simplify right side
    156,135x = 54,650,750,625
  5. Step 5: Solve for x
    x = 54,650,750,625/156,135
  6. Step 6: Final answer
    x = 350,022.42

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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.