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Finding the Third Proportional to 146,427.75 and 198,905.63

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Solution

The third proportional to 146,427.75 and 198,905.63 is: 270,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,427.75 : 198,905.63 = 198,905.63 : x
  2. Step 2: Convert to fraction form
    146,427.75/198,905.63 = 198,905.63/x
  3. Step 3: Cross multiply
    146,427.75x = 198,905.63 × 198,905.63
  4. Step 4: Simplify right side
    146,427.75x = 39,563,447,656.64
  5. Step 5: Solve for x
    x = 39,563,447,656.64/146,427.75
  6. Step 6: Final answer
    x = 270,190.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.