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Finding the Third Proportional to 156,786 and 231,489

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Solution

The third proportional to 156,786 and 231,489 is: 341,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786 : 231,489 = 231,489 : x
  2. Step 2: Convert to fraction form
    156,786/231,489 = 231,489/x
  3. Step 3: Cross multiply
    156,786x = 231,489 × 231,489
  4. Step 4: Simplify right side
    156,786x = 53,587,157,121
  5. Step 5: Solve for x
    x = 53,587,157,121/156,786
  6. Step 6: Final answer
    x = 341,785.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.