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Finding the Third Proportional to 151,805.81 and 222,782.91

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Solution

The third proportional to 151,805.81 and 222,782.91 is: 326,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,805.81 : 222,782.91 = 222,782.91 : x
  2. Step 2: Convert to fraction form
    151,805.81/222,782.91 = 222,782.91/x
  3. Step 3: Cross multiply
    151,805.81x = 222,782.91 × 222,782.91
  4. Step 4: Simplify right side
    151,805.81x = 49,632,223,317.20
  5. Step 5: Solve for x
    x = 49,632,223,317.20/151,805.81
  6. Step 6: Final answer
    x = 326,945.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.