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Finding the Third Proportional to 242,936 and 388,120

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Solution

The third proportional to 242,936 and 388,120 is: 620,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,936 : 388,120 = 388,120 : x
  2. Step 2: Convert to fraction form
    242,936/388,120 = 388,120/x
  3. Step 3: Cross multiply
    242,936x = 388,120 × 388,120
  4. Step 4: Simplify right side
    242,936x = 150,637,134,400
  5. Step 5: Solve for x
    x = 150,637,134,400/242,936
  6. Step 6: Final answer
    x = 620,069.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.