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Finding the Third Proportional to 192,785 and 288,043

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Solution

The third proportional to 192,785 and 288,043 is: 430,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,785 : 288,043 = 288,043 : x
  2. Step 2: Convert to fraction form
    192,785/288,043 = 288,043/x
  3. Step 3: Cross multiply
    192,785x = 288,043 × 288,043
  4. Step 4: Simplify right side
    192,785x = 82,968,769,849
  5. Step 5: Solve for x
    x = 82,968,769,849/192,785
  6. Step 6: Final answer
    x = 430,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.