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Finding the Third Proportional to 133,612 and 290,024

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Solution

The third proportional to 133,612 and 290,024 is: 629,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,612 : 290,024 = 290,024 : x
  2. Step 2: Convert to fraction form
    133,612/290,024 = 290,024/x
  3. Step 3: Cross multiply
    133,612x = 290,024 × 290,024
  4. Step 4: Simplify right side
    133,612x = 84,113,920,576
  5. Step 5: Solve for x
    x = 84,113,920,576/133,612
  6. Step 6: Final answer
    x = 629,538.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.