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Finding the Third Proportional to 239,217 and 325,021

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Solution

The third proportional to 239,217 and 325,021 is: 441,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,217 : 325,021 = 325,021 : x
  2. Step 2: Convert to fraction form
    239,217/325,021 = 325,021/x
  3. Step 3: Cross multiply
    239,217x = 325,021 × 325,021
  4. Step 4: Simplify right side
    239,217x = 105,638,650,441
  5. Step 5: Solve for x
    x = 105,638,650,441/239,217
  6. Step 6: Final answer
    x = 441,601.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.