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Finding the Third Proportional to 133,164 and 290,979

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Solution

The third proportional to 133,164 and 290,979 is: 635,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,164 : 290,979 = 290,979 : x
  2. Step 2: Convert to fraction form
    133,164/290,979 = 290,979/x
  3. Step 3: Cross multiply
    133,164x = 290,979 × 290,979
  4. Step 4: Simplify right side
    133,164x = 84,668,778,441
  5. Step 5: Solve for x
    x = 84,668,778,441/133,164
  6. Step 6: Final answer
    x = 635,823.33

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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.