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Finding the Third Proportional to 138,498 and 303,348

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Solution

The third proportional to 138,498 and 303,348 is: 664,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,498 : 303,348 = 303,348 : x
  2. Step 2: Convert to fraction form
    138,498/303,348 = 303,348/x
  3. Step 3: Cross multiply
    138,498x = 303,348 × 303,348
  4. Step 4: Simplify right side
    138,498x = 92,020,009,104
  5. Step 5: Solve for x
    x = 92,020,009,104/138,498
  6. Step 6: Final answer
    x = 664,413.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.