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Finding the Third Proportional to 144,828 and 190,890

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Solution

The third proportional to 144,828 and 190,890 is: 251,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,828 : 190,890 = 190,890 : x
  2. Step 2: Convert to fraction form
    144,828/190,890 = 190,890/x
  3. Step 3: Cross multiply
    144,828x = 190,890 × 190,890
  4. Step 4: Simplify right side
    144,828x = 36,438,992,100
  5. Step 5: Solve for x
    x = 36,438,992,100/144,828
  6. Step 6: Final answer
    x = 251,601.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.