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Finding the Third Proportional to 150,050 and 234,291

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Solution

The third proportional to 150,050 and 234,291 is: 365,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,050 : 234,291 = 234,291 : x
  2. Step 2: Convert to fraction form
    150,050/234,291 = 234,291/x
  3. Step 3: Cross multiply
    150,050x = 234,291 × 234,291
  4. Step 4: Simplify right side
    150,050x = 54,892,272,681
  5. Step 5: Solve for x
    x = 54,892,272,681/150,050
  6. Step 6: Final answer
    x = 365,826.54

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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.