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Finding the Third Proportional to 211,977 and 295,285.50

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Solution

The third proportional to 211,977 and 295,285.50 is: 411,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,977 : 295,285.50 = 295,285.50 : x
  2. Step 2: Convert to fraction form
    211,977/295,285.50 = 295,285.50/x
  3. Step 3: Cross multiply
    211,977x = 295,285.50 × 295,285.50
  4. Step 4: Simplify right side
    211,977x = 87,193,526,510.25
  5. Step 5: Solve for x
    x = 87,193,526,510.25/211,977
  6. Step 6: Final answer
    x = 411,334.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.