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Finding the Third Proportional to 158,955.75 and 222,775.88

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Solution

The third proportional to 158,955.75 and 222,775.88 is: 312,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,955.75 : 222,775.88 = 222,775.88 : x
  2. Step 2: Convert to fraction form
    158,955.75/222,775.88 = 222,775.88/x
  3. Step 3: Cross multiply
    158,955.75x = 222,775.88 × 222,775.88
  4. Step 4: Simplify right side
    158,955.75x = 49,629,090,482.02
  5. Step 5: Solve for x
    x = 49,629,090,482.02/158,955.75
  6. Step 6: Final answer
    x = 312,219.54

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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.