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Finding the Third Proportional to 198,213.96 and 301,968.32

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Solution

The third proportional to 198,213.96 and 301,968.32 is: 460,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,213.96 : 301,968.32 = 301,968.32 : x
  2. Step 2: Convert to fraction form
    198,213.96/301,968.32 = 301,968.32/x
  3. Step 3: Cross multiply
    198,213.96x = 301,968.32 × 301,968.32
  4. Step 4: Simplify right side
    198,213.96x = 91,184,864,113.23
  5. Step 5: Solve for x
    x = 91,184,864,113.23/198,213.96
  6. Step 6: Final answer
    x = 460,032.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.