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Finding the Third Proportional to 236,339 and 353,683

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Solution

The third proportional to 236,339 and 353,683 is: 529,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,339 : 353,683 = 353,683 : x
  2. Step 2: Convert to fraction form
    236,339/353,683 = 353,683/x
  3. Step 3: Cross multiply
    236,339x = 353,683 × 353,683
  4. Step 4: Simplify right side
    236,339x = 125,091,664,489
  5. Step 5: Solve for x
    x = 125,091,664,489/236,339
  6. Step 6: Final answer
    x = 529,289.13

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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.