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Finding the Third Proportional to 250,176 and 388,080

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Solution

The third proportional to 250,176 and 388,080 is: 602,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,176 : 388,080 = 388,080 : x
  2. Step 2: Convert to fraction form
    250,176/388,080 = 388,080/x
  3. Step 3: Cross multiply
    250,176x = 388,080 × 388,080
  4. Step 4: Simplify right side
    250,176x = 150,606,086,400
  5. Step 5: Solve for x
    x = 150,606,086,400/250,176
  6. Step 6: Final answer
    x = 602,000.54

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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.