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Finding the Third Proportional to 154,143 and 241,863.47

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Solution

The third proportional to 154,143 and 241,863.47 is: 379,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,143 : 241,863.47 = 241,863.47 : x
  2. Step 2: Convert to fraction form
    154,143/241,863.47 = 241,863.47/x
  3. Step 3: Cross multiply
    154,143x = 241,863.47 × 241,863.47
  4. Step 4: Simplify right side
    154,143x = 58,497,937,515.78
  5. Step 5: Solve for x
    x = 58,497,937,515.78/154,143
  6. Step 6: Final answer
    x = 379,504.34

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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.