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Finding the Third Proportional to 133,056 and 290,958

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Solution

The third proportional to 133,056 and 290,958 is: 636,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056 : 290,958 = 290,958 : x
  2. Step 2: Convert to fraction form
    133,056/290,958 = 290,958/x
  3. Step 3: Cross multiply
    133,056x = 290,958 × 290,958
  4. Step 4: Simplify right side
    133,056x = 84,656,557,764
  5. Step 5: Solve for x
    x = 84,656,557,764/133,056
  6. Step 6: Final answer
    x = 636,247.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.