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Finding the Third Proportional to 169,797 and 229,783

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Solution

The third proportional to 169,797 and 229,783 is: 310,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,797 : 229,783 = 229,783 : x
  2. Step 2: Convert to fraction form
    169,797/229,783 = 229,783/x
  3. Step 3: Cross multiply
    169,797x = 229,783 × 229,783
  4. Step 4: Simplify right side
    169,797x = 52,800,227,089
  5. Step 5: Solve for x
    x = 52,800,227,089/169,797
  6. Step 6: Final answer
    x = 310,960.90

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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.