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Finding the Third Proportional to 123,235 and 190,286

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Solution

The third proportional to 123,235 and 190,286 is: 293,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,235 : 190,286 = 190,286 : x
  2. Step 2: Convert to fraction form
    123,235/190,286 = 190,286/x
  3. Step 3: Cross multiply
    123,235x = 190,286 × 190,286
  4. Step 4: Simplify right side
    123,235x = 36,208,761,796
  5. Step 5: Solve for x
    x = 36,208,761,796/123,235
  6. Step 6: Final answer
    x = 293,818.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.