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Finding the Third Proportional to 158,918.63 and 222,790.50

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Solution

The third proportional to 158,918.63 and 222,790.50 is: 312,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,918.63 : 222,790.50 = 222,790.50 : x
  2. Step 2: Convert to fraction form
    158,918.63/222,790.50 = 222,790.50/x
  3. Step 3: Cross multiply
    158,918.63x = 222,790.50 × 222,790.50
  4. Step 4: Simplify right side
    158,918.63x = 49,635,606,890.25
  5. Step 5: Solve for x
    x = 49,635,606,890.25/158,918.63
  6. Step 6: Final answer
    x = 312,333.48

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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.