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Finding the Third Proportional to 133,618 and 290,036

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Solution

The third proportional to 133,618 and 290,036 is: 629,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,618 : 290,036 = 290,036 : x
  2. Step 2: Convert to fraction form
    133,618/290,036 = 290,036/x
  3. Step 3: Cross multiply
    133,618x = 290,036 × 290,036
  4. Step 4: Simplify right side
    133,618x = 84,120,881,296
  5. Step 5: Solve for x
    x = 84,120,881,296/133,618
  6. Step 6: Final answer
    x = 629,562.49

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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.