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Finding the Third Proportional to 152,660 and 327,904

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Solution

The third proportional to 152,660 and 327,904 is: 704,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,660 : 327,904 = 327,904 : x
  2. Step 2: Convert to fraction form
    152,660/327,904 = 327,904/x
  3. Step 3: Cross multiply
    152,660x = 327,904 × 327,904
  4. Step 4: Simplify right side
    152,660x = 107,521,033,216
  5. Step 5: Solve for x
    x = 107,521,033,216/152,660
  6. Step 6: Final answer
    x = 704,317.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.