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Finding the Third Proportional to 169,786 and 229,767

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Solution

The third proportional to 169,786 and 229,767 is: 310,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,786 : 229,767 = 229,767 : x
  2. Step 2: Convert to fraction form
    169,786/229,767 = 229,767/x
  3. Step 3: Cross multiply
    169,786x = 229,767 × 229,767
  4. Step 4: Simplify right side
    169,786x = 52,792,874,289
  5. Step 5: Solve for x
    x = 52,792,874,289/169,786
  6. Step 6: Final answer
    x = 310,937.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.