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Finding the Third Proportional to 145,898 and 301,912

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Solution

The third proportional to 145,898 and 301,912 is: 624,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,898 : 301,912 = 301,912 : x
  2. Step 2: Convert to fraction form
    145,898/301,912 = 301,912/x
  3. Step 3: Cross multiply
    145,898x = 301,912 × 301,912
  4. Step 4: Simplify right side
    145,898x = 91,150,855,744
  5. Step 5: Solve for x
    x = 91,150,855,744/145,898
  6. Step 6: Final answer
    x = 624,757.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.