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Finding the Third Proportional to 156,626 and 235,673

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Solution

The third proportional to 156,626 and 235,673 is: 354,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,626 : 235,673 = 235,673 : x
  2. Step 2: Convert to fraction form
    156,626/235,673 = 235,673/x
  3. Step 3: Cross multiply
    156,626x = 235,673 × 235,673
  4. Step 4: Simplify right side
    156,626x = 55,541,762,929
  5. Step 5: Solve for x
    x = 55,541,762,929/156,626
  6. Step 6: Final answer
    x = 354,613.94

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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.