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Finding the Third Proportional to 236,007 and 353,943

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Solution

The third proportional to 236,007 and 353,943 is: 530,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,007 : 353,943 = 353,943 : x
  2. Step 2: Convert to fraction form
    236,007/353,943 = 353,943/x
  3. Step 3: Cross multiply
    236,007x = 353,943 × 353,943
  4. Step 4: Simplify right side
    236,007x = 125,275,647,249
  5. Step 5: Solve for x
    x = 125,275,647,249/236,007
  6. Step 6: Final answer
    x = 530,813.27

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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.