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Finding the Third Proportional to 154,115 and 241,822

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Solution

The third proportional to 154,115 and 241,822 is: 379,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,115 : 241,822 = 241,822 : x
  2. Step 2: Convert to fraction form
    154,115/241,822 = 241,822/x
  3. Step 3: Cross multiply
    154,115x = 241,822 × 241,822
  4. Step 4: Simplify right side
    154,115x = 58,477,879,684
  5. Step 5: Solve for x
    x = 58,477,879,684/154,115
  6. Step 6: Final answer
    x = 379,443.14

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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.