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Finding the Third Proportional to 199,024 and 297,807

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Solution

The third proportional to 199,024 and 297,807 is: 445,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,024 : 297,807 = 297,807 : x
  2. Step 2: Convert to fraction form
    199,024/297,807 = 297,807/x
  3. Step 3: Cross multiply
    199,024x = 297,807 × 297,807
  4. Step 4: Simplify right side
    199,024x = 88,689,009,249
  5. Step 5: Solve for x
    x = 88,689,009,249/199,024
  6. Step 6: Final answer
    x = 445,619.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.