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Finding the Third Proportional to 169,929 and 229,947

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Solution

The third proportional to 169,929 and 229,947 is: 311,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,929 : 229,947 = 229,947 : x
  2. Step 2: Convert to fraction form
    169,929/229,947 = 229,947/x
  3. Step 3: Cross multiply
    169,929x = 229,947 × 229,947
  4. Step 4: Simplify right side
    169,929x = 52,875,622,809
  5. Step 5: Solve for x
    x = 52,875,622,809/169,929
  6. Step 6: Final answer
    x = 311,163.03

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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.