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Finding the Third Proportional to 250,336 and 388,148

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Solution

The third proportional to 250,336 and 388,148 is: 601,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,336 : 388,148 = 388,148 : x
  2. Step 2: Convert to fraction form
    250,336/388,148 = 388,148/x
  3. Step 3: Cross multiply
    250,336x = 388,148 × 388,148
  4. Step 4: Simplify right side
    250,336x = 150,658,869,904
  5. Step 5: Solve for x
    x = 150,658,869,904/250,336
  6. Step 6: Final answer
    x = 601,826.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.