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Finding the Third Proportional to 158,985.75 and 222,818.25

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Solution

The third proportional to 158,985.75 and 222,818.25 is: 312,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,985.75 : 222,818.25 = 222,818.25 : x
  2. Step 2: Convert to fraction form
    158,985.75/222,818.25 = 222,818.25/x
  3. Step 3: Cross multiply
    158,985.75x = 222,818.25 × 222,818.25
  4. Step 4: Simplify right side
    158,985.75x = 49,647,972,533.06
  5. Step 5: Solve for x
    x = 49,647,972,533.06/158,985.75
  6. Step 6: Final answer
    x = 312,279.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.