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Finding the Third Proportional to 214,776 and 329,616

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Solution

The third proportional to 214,776 and 329,616 is: 505,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,776 : 329,616 = 329,616 : x
  2. Step 2: Convert to fraction form
    214,776/329,616 = 329,616/x
  3. Step 3: Cross multiply
    214,776x = 329,616 × 329,616
  4. Step 4: Simplify right side
    214,776x = 108,646,707,456
  5. Step 5: Solve for x
    x = 108,646,707,456/214,776
  6. Step 6: Final answer
    x = 505,860.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.