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Finding the Third Proportional to 152,788 and 328,976

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Solution

The third proportional to 152,788 and 328,976 is: 708,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,788 : 328,976 = 328,976 : x
  2. Step 2: Convert to fraction form
    152,788/328,976 = 328,976/x
  3. Step 3: Cross multiply
    152,788x = 328,976 × 328,976
  4. Step 4: Simplify right side
    152,788x = 108,225,208,576
  5. Step 5: Solve for x
    x = 108,225,208,576/152,788
  6. Step 6: Final answer
    x = 708,335.79

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