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Finding the Third Proportional to 147,150 and 219,627

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Solution

The third proportional to 147,150 and 219,627 is: 327,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,150 : 219,627 = 219,627 : x
  2. Step 2: Convert to fraction form
    147,150/219,627 = 219,627/x
  3. Step 3: Cross multiply
    147,150x = 219,627 × 219,627
  4. Step 4: Simplify right side
    147,150x = 48,236,019,129
  5. Step 5: Solve for x
    x = 48,236,019,129/147,150
  6. Step 6: Final answer
    x = 327,801.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.