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Finding the Third Proportional to 154,197 and 238,299

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Solution

The third proportional to 154,197 and 238,299 is: 368,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,197 : 238,299 = 238,299 : x
  2. Step 2: Convert to fraction form
    154,197/238,299 = 238,299/x
  3. Step 3: Cross multiply
    154,197x = 238,299 × 238,299
  4. Step 4: Simplify right side
    154,197x = 56,786,413,401
  5. Step 5: Solve for x
    x = 56,786,413,401/154,197
  6. Step 6: Final answer
    x = 368,271.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.