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Finding the Third Proportional to 169,794 and 229,776

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Solution

The third proportional to 169,794 and 229,776 is: 310,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,794 : 229,776 = 229,776 : x
  2. Step 2: Convert to fraction form
    169,794/229,776 = 229,776/x
  3. Step 3: Cross multiply
    169,794x = 229,776 × 229,776
  4. Step 4: Simplify right side
    169,794x = 52,797,010,176
  5. Step 5: Solve for x
    x = 52,797,010,176/169,794
  6. Step 6: Final answer
    x = 310,947.44

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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.