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Finding the Third Proportional to 250,650 and 388,301

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Solution

The third proportional to 250,650 and 388,301 is: 601,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,650 : 388,301 = 388,301 : x
  2. Step 2: Convert to fraction form
    250,650/388,301 = 388,301/x
  3. Step 3: Cross multiply
    250,650x = 388,301 × 388,301
  4. Step 4: Simplify right side
    250,650x = 150,777,666,601
  5. Step 5: Solve for x
    x = 150,777,666,601/250,650
  6. Step 6: Final answer
    x = 601,546.65

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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.