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Finding the Third Proportional to 211,942.50 and 297,033

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Solution

The third proportional to 211,942.50 and 297,033 is: 416,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,942.50 : 297,033 = 297,033 : x
  2. Step 2: Convert to fraction form
    211,942.50/297,033 = 297,033/x
  3. Step 3: Cross multiply
    211,942.50x = 297,033 × 297,033
  4. Step 4: Simplify right side
    211,942.50x = 88,228,603,089
  5. Step 5: Solve for x
    x = 88,228,603,089/211,942.50
  6. Step 6: Final answer
    x = 416,285.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.