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Finding the Third Proportional to 137,826.56 and 281,485.13

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Solution

The third proportional to 137,826.56 and 281,485.13 is: 574,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,826.56 : 281,485.13 = 281,485.13 : x
  2. Step 2: Convert to fraction form
    137,826.56/281,485.13 = 281,485.13/x
  3. Step 3: Cross multiply
    137,826.56x = 281,485.13 × 281,485.13
  4. Step 4: Simplify right side
    137,826.56x = 79,233,875,596.27
  5. Step 5: Solve for x
    x = 79,233,875,596.27/137,826.56
  6. Step 6: Final answer
    x = 574,881.03

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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.