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Finding the Third Proportional to 150,921 and 238,779

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Solution

The third proportional to 150,921 and 238,779 is: 377,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,921 : 238,779 = 238,779 : x
  2. Step 2: Convert to fraction form
    150,921/238,779 = 238,779/x
  3. Step 3: Cross multiply
    150,921x = 238,779 × 238,779
  4. Step 4: Simplify right side
    150,921x = 57,015,410,841
  5. Step 5: Solve for x
    x = 57,015,410,841/150,921
  6. Step 6: Final answer
    x = 377,783.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.