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Finding the Third Proportional to 156,769 and 342,986

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Solution

The third proportional to 156,769 and 342,986 is: 750,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,769 : 342,986 = 342,986 : x
  2. Step 2: Convert to fraction form
    156,769/342,986 = 342,986/x
  3. Step 3: Cross multiply
    156,769x = 342,986 × 342,986
  4. Step 4: Simplify right side
    156,769x = 117,639,396,196
  5. Step 5: Solve for x
    x = 117,639,396,196/156,769
  6. Step 6: Final answer
    x = 750,399.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.