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Finding the Third Proportional to 150,265 and 234,015

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Solution

The third proportional to 150,265 and 234,015 is: 364,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,265 : 234,015 = 234,015 : x
  2. Step 2: Convert to fraction form
    150,265/234,015 = 234,015/x
  3. Step 3: Cross multiply
    150,265x = 234,015 × 234,015
  4. Step 4: Simplify right side
    150,265x = 54,763,020,225
  5. Step 5: Solve for x
    x = 54,763,020,225/150,265
  6. Step 6: Final answer
    x = 364,442.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.