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Finding the Third Proportional to 155,992 and 241,338

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Solution

The third proportional to 155,992 and 241,338 is: 373,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,992 : 241,338 = 241,338 : x
  2. Step 2: Convert to fraction form
    155,992/241,338 = 241,338/x
  3. Step 3: Cross multiply
    155,992x = 241,338 × 241,338
  4. Step 4: Simplify right side
    155,992x = 58,244,030,244
  5. Step 5: Solve for x
    x = 58,244,030,244/155,992
  6. Step 6: Final answer
    x = 373,378.32

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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.