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Finding the Third Proportional to 156,682.50 and 235,369.50

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Solution

The third proportional to 156,682.50 and 235,369.50 is: 353,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,682.50 : 235,369.50 = 235,369.50 : x
  2. Step 2: Convert to fraction form
    156,682.50/235,369.50 = 235,369.50/x
  3. Step 3: Cross multiply
    156,682.50x = 235,369.50 × 235,369.50
  4. Step 4: Simplify right side
    156,682.50x = 55,398,801,530.25
  5. Step 5: Solve for x
    x = 55,398,801,530.25/156,682.50
  6. Step 6: Final answer
    x = 353,573.64

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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.