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Finding the Third Proportional to 123,470 and 190,336

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Solution

The third proportional to 123,470 and 190,336 is: 293,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,470 : 190,336 = 190,336 : x
  2. Step 2: Convert to fraction form
    123,470/190,336 = 190,336/x
  3. Step 3: Cross multiply
    123,470x = 190,336 × 190,336
  4. Step 4: Simplify right side
    123,470x = 36,227,792,896
  5. Step 5: Solve for x
    x = 36,227,792,896/123,470
  6. Step 6: Final answer
    x = 293,413.73

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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.