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Finding the Third Proportional to 154,117 and 241,824

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Solution

The third proportional to 154,117 and 241,824 is: 379,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,117 : 241,824 = 241,824 : x
  2. Step 2: Convert to fraction form
    154,117/241,824 = 241,824/x
  3. Step 3: Cross multiply
    154,117x = 241,824 × 241,824
  4. Step 4: Simplify right side
    154,117x = 58,478,846,976
  5. Step 5: Solve for x
    x = 58,478,846,976/154,117
  6. Step 6: Final answer
    x = 379,444.49

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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.