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Finding the Third Proportional to 152,963.25 and 328,069.31

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Solution

The third proportional to 152,963.25 and 328,069.31 is: 703,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,963.25 : 328,069.31 = 328,069.31 : x
  2. Step 2: Convert to fraction form
    152,963.25/328,069.31 = 328,069.31/x
  3. Step 3: Cross multiply
    152,963.25x = 328,069.31 × 328,069.31
  4. Step 4: Simplify right side
    152,963.25x = 107,629,473,804.22
  5. Step 5: Solve for x
    x = 107,629,473,804.22/152,963.25
  6. Step 6: Final answer
    x = 703,629.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.