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Finding the Third Proportional to 214,384 and 325,032

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Solution

The third proportional to 214,384 and 325,032 is: 492,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,384 : 325,032 = 325,032 : x
  2. Step 2: Convert to fraction form
    214,384/325,032 = 325,032/x
  3. Step 3: Cross multiply
    214,384x = 325,032 × 325,032
  4. Step 4: Simplify right side
    214,384x = 105,645,801,024
  5. Step 5: Solve for x
    x = 105,645,801,024/214,384
  6. Step 6: Final answer
    x = 492,787.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.