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Finding the Third Proportional to 197,136 and 446,913

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Solution

The third proportional to 197,136 and 446,913 is: 1,013,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,136 : 446,913 = 446,913 : x
  2. Step 2: Convert to fraction form
    197,136/446,913 = 446,913/x
  3. Step 3: Cross multiply
    197,136x = 446,913 × 446,913
  4. Step 4: Simplify right side
    197,136x = 199,731,229,569
  5. Step 5: Solve for x
    x = 199,731,229,569/197,136
  6. Step 6: Final answer
    x = 1,013,164.67

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.