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Finding the Third Proportional to 152,963.44 and 328,069.13

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Solution

The third proportional to 152,963.44 and 328,069.13 is: 703,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,963.44 : 328,069.13 = 328,069.13 : x
  2. Step 2: Convert to fraction form
    152,963.44/328,069.13 = 328,069.13/x
  3. Step 3: Cross multiply
    152,963.44x = 328,069.13 × 328,069.13
  4. Step 4: Simplify right side
    152,963.44x = 107,629,350,778.27
  5. Step 5: Solve for x
    x = 107,629,350,778.27/152,963.44
  6. Step 6: Final answer
    x = 703,627.96

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Why These Related Problems?

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