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Finding the Third Proportional to 115,296 and 248,368

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Solution

The third proportional to 115,296 and 248,368 is: 535,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,296 : 248,368 = 248,368 : x
  2. Step 2: Convert to fraction form
    115,296/248,368 = 248,368/x
  3. Step 3: Cross multiply
    115,296x = 248,368 × 248,368
  4. Step 4: Simplify right side
    115,296x = 61,686,663,424
  5. Step 5: Solve for x
    x = 61,686,663,424/115,296
  6. Step 6: Final answer
    x = 535,028.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.