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Finding the Third Proportional to 133,624 and 290,048

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Solution

The third proportional to 133,624 and 290,048 is: 629,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,624 : 290,048 = 290,048 : x
  2. Step 2: Convert to fraction form
    133,624/290,048 = 290,048/x
  3. Step 3: Cross multiply
    133,624x = 290,048 × 290,048
  4. Step 4: Simplify right side
    133,624x = 84,127,842,304
  5. Step 5: Solve for x
    x = 84,127,842,304/133,624
  6. Step 6: Final answer
    x = 629,586.32

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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.