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Finding the Third Proportional to 74,289.94 and 154,735.88

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Solution

The third proportional to 74,289.94 and 154,735.88 is: 322,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,289.94 : 154,735.88 = 154,735.88 : x
  2. Step 2: Convert to fraction form
    74,289.94/154,735.88 = 154,735.88/x
  3. Step 3: Cross multiply
    74,289.94x = 154,735.88 × 154,735.88
  4. Step 4: Simplify right side
    74,289.94x = 23,943,191,012.02
  5. Step 5: Solve for x
    x = 23,943,191,012.02/74,289.94
  6. Step 6: Final answer
    x = 322,293.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.