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Finding the Third Proportional to 211,647.75 and 282,155.25

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Solution

The third proportional to 211,647.75 and 282,155.25 is: 376,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,647.75 : 282,155.25 = 282,155.25 : x
  2. Step 2: Convert to fraction form
    211,647.75/282,155.25 = 282,155.25/x
  3. Step 3: Cross multiply
    211,647.75x = 282,155.25 × 282,155.25
  4. Step 4: Simplify right side
    211,647.75x = 79,611,585,102.56
  5. Step 5: Solve for x
    x = 79,611,585,102.56/211,647.75
  6. Step 6: Final answer
    x = 376,151.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.