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Finding the Third Proportional to 188,404 and 282,609

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Solution

The third proportional to 188,404 and 282,609 is: 423,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,404 : 282,609 = 282,609 : x
  2. Step 2: Convert to fraction form
    188,404/282,609 = 282,609/x
  3. Step 3: Cross multiply
    188,404x = 282,609 × 282,609
  4. Step 4: Simplify right side
    188,404x = 79,867,846,881
  5. Step 5: Solve for x
    x = 79,867,846,881/188,404
  6. Step 6: Final answer
    x = 423,918.00

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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.