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Finding the Third Proportional to 110,300 and 155,322

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Solution

The third proportional to 110,300 and 155,322 is: 218,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,300 : 155,322 = 155,322 : x
  2. Step 2: Convert to fraction form
    110,300/155,322 = 155,322/x
  3. Step 3: Cross multiply
    110,300x = 155,322 × 155,322
  4. Step 4: Simplify right side
    110,300x = 24,124,923,684
  5. Step 5: Solve for x
    x = 24,124,923,684/110,300
  6. Step 6: Final answer
    x = 218,720.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.