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Finding the Third Proportional to 110,348 and 236,248

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Solution

The third proportional to 110,348 and 236,248 is: 505,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,348 : 236,248 = 236,248 : x
  2. Step 2: Convert to fraction form
    110,348/236,248 = 236,248/x
  3. Step 3: Cross multiply
    110,348x = 236,248 × 236,248
  4. Step 4: Simplify right side
    110,348x = 55,813,117,504
  5. Step 5: Solve for x
    x = 55,813,117,504/110,348
  6. Step 6: Final answer
    x = 505,791.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.