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Finding the Third Proportional to 156,698 and 341,767

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Solution

The third proportional to 156,698 and 341,767 is: 745,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,698 : 341,767 = 341,767 : x
  2. Step 2: Convert to fraction form
    156,698/341,767 = 341,767/x
  3. Step 3: Cross multiply
    156,698x = 341,767 × 341,767
  4. Step 4: Simplify right side
    156,698x = 116,804,682,289
  5. Step 5: Solve for x
    x = 116,804,682,289/156,698
  6. Step 6: Final answer
    x = 745,412.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.