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Finding the Third Proportional to 137,675.50 and 282,761

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Solution

The third proportional to 137,675.50 and 282,761 is: 580,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,675.50 : 282,761 = 282,761 : x
  2. Step 2: Convert to fraction form
    137,675.50/282,761 = 282,761/x
  3. Step 3: Cross multiply
    137,675.50x = 282,761 × 282,761
  4. Step 4: Simplify right side
    137,675.50x = 79,953,783,121
  5. Step 5: Solve for x
    x = 79,953,783,121/137,675.50
  6. Step 6: Final answer
    x = 580,740.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.