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Finding the Third Proportional to 152,794 and 229,479

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Solution

The third proportional to 152,794 and 229,479 is: 344,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,794 : 229,479 = 229,479 : x
  2. Step 2: Convert to fraction form
    152,794/229,479 = 229,479/x
  3. Step 3: Cross multiply
    152,794x = 229,479 × 229,479
  4. Step 4: Simplify right side
    152,794x = 52,660,611,441
  5. Step 5: Solve for x
    x = 52,660,611,441/152,794
  6. Step 6: Final answer
    x = 344,651.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.