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Finding the Third Proportional to 156,146.63 and 233,793

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Solution

The third proportional to 156,146.63 and 233,793 is: 350,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,146.63 : 233,793 = 233,793 : x
  2. Step 2: Convert to fraction form
    156,146.63/233,793 = 233,793/x
  3. Step 3: Cross multiply
    156,146.63x = 233,793 × 233,793
  4. Step 4: Simplify right side
    156,146.63x = 54,659,166,849
  5. Step 5: Solve for x
    x = 54,659,166,849/156,146.63
  6. Step 6: Final answer
    x = 350,050.26

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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.