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Finding the Third Proportional to 211,072.50 and 297,243

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Solution

The third proportional to 211,072.50 and 297,243 is: 418,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,072.50 : 297,243 = 297,243 : x
  2. Step 2: Convert to fraction form
    211,072.50/297,243 = 297,243/x
  3. Step 3: Cross multiply
    211,072.50x = 297,243 × 297,243
  4. Step 4: Simplify right side
    211,072.50x = 88,353,401,049
  5. Step 5: Solve for x
    x = 88,353,401,049/211,072.50
  6. Step 6: Final answer
    x = 418,592.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.