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Finding the Third Proportional to 154,127.81 and 241,843.22

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Solution

The third proportional to 154,127.81 and 241,843.22 is: 379,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,127.81 : 241,843.22 = 241,843.22 : x
  2. Step 2: Convert to fraction form
    154,127.81/241,843.22 = 241,843.22/x
  3. Step 3: Cross multiply
    154,127.81x = 241,843.22 × 241,843.22
  4. Step 4: Simplify right side
    154,127.81x = 58,488,142,455.36
  5. Step 5: Solve for x
    x = 58,488,142,455.36/154,127.81
  6. Step 6: Final answer
    x = 379,478.18

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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.