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Finding the Third Proportional to 152,404 and 329,866

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Solution

The third proportional to 152,404 and 329,866 is: 713,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,404 : 329,866 = 329,866 : x
  2. Step 2: Convert to fraction form
    152,404/329,866 = 329,866/x
  3. Step 3: Cross multiply
    152,404x = 329,866 × 329,866
  4. Step 4: Simplify right side
    152,404x = 108,811,577,956
  5. Step 5: Solve for x
    x = 108,811,577,956/152,404
  6. Step 6: Final answer
    x = 713,967.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.