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Finding the Third Proportional to 138,988 and 303,462

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Solution

The third proportional to 138,988 and 303,462 is: 662,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,988 : 303,462 = 303,462 : x
  2. Step 2: Convert to fraction form
    138,988/303,462 = 303,462/x
  3. Step 3: Cross multiply
    138,988x = 303,462 × 303,462
  4. Step 4: Simplify right side
    138,988x = 92,089,185,444
  5. Step 5: Solve for x
    x = 92,089,185,444/138,988
  6. Step 6: Final answer
    x = 662,569.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.