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Finding the Third Proportional to 154,119 and 241,828

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Solution

The third proportional to 154,119 and 241,828 is: 379,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,119 : 241,828 = 241,828 : x
  2. Step 2: Convert to fraction form
    154,119/241,828 = 241,828/x
  3. Step 3: Cross multiply
    154,119x = 241,828 × 241,828
  4. Step 4: Simplify right side
    154,119x = 58,480,781,584
  5. Step 5: Solve for x
    x = 58,480,781,584/154,119
  6. Step 6: Final answer
    x = 379,452.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.