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Finding the Third Proportional to 192,789 and 430,290

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Solution

The third proportional to 192,789 and 430,290 is: 960,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,789 : 430,290 = 430,290 : x
  2. Step 2: Convert to fraction form
    192,789/430,290 = 430,290/x
  3. Step 3: Cross multiply
    192,789x = 430,290 × 430,290
  4. Step 4: Simplify right side
    192,789x = 185,149,484,100
  5. Step 5: Solve for x
    x = 185,149,484,100/192,789
  6. Step 6: Final answer
    x = 960,373.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.