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Finding the Third Proportional to 138,954 and 282,818

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Solution

The third proportional to 138,954 and 282,818 is: 575,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,954 : 282,818 = 282,818 : x
  2. Step 2: Convert to fraction form
    138,954/282,818 = 282,818/x
  3. Step 3: Cross multiply
    138,954x = 282,818 × 282,818
  4. Step 4: Simplify right side
    138,954x = 79,986,021,124
  5. Step 5: Solve for x
    x = 79,986,021,124/138,954
  6. Step 6: Final answer
    x = 575,629.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.