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Finding the Third Proportional to 133,452 and 290,088

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Solution

The third proportional to 133,452 and 290,088 is: 630,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,452 : 290,088 = 290,088 : x
  2. Step 2: Convert to fraction form
    133,452/290,088 = 290,088/x
  3. Step 3: Cross multiply
    133,452x = 290,088 × 290,088
  4. Step 4: Simplify right side
    133,452x = 84,151,047,744
  5. Step 5: Solve for x
    x = 84,151,047,744/133,452
  6. Step 6: Final answer
    x = 630,571.65

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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.