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Finding the Third Proportional to 156,746 and 235,467

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Solution

The third proportional to 156,746 and 235,467 is: 353,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,746 : 235,467 = 235,467 : x
  2. Step 2: Convert to fraction form
    156,746/235,467 = 235,467/x
  3. Step 3: Cross multiply
    156,746x = 235,467 × 235,467
  4. Step 4: Simplify right side
    156,746x = 55,444,708,089
  5. Step 5: Solve for x
    x = 55,444,708,089/156,746
  6. Step 6: Final answer
    x = 353,723.27

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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.