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Finding the Third Proportional to 250,381.13 and 388,283.63

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Solution

The third proportional to 250,381.13 and 388,283.63 is: 602,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,381.13 : 388,283.63 = 388,283.63 : x
  2. Step 2: Convert to fraction form
    250,381.13/388,283.63 = 388,283.63/x
  3. Step 3: Cross multiply
    250,381.13x = 388,283.63 × 388,283.63
  4. Step 4: Simplify right side
    250,381.13x = 150,764,173,443.14
  5. Step 5: Solve for x
    x = 150,764,173,443.14/250,381.13
  6. Step 6: Final answer
    x = 602,138.73

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