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Finding the Third Proportional to 148,559.63 and 320,219.44

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Solution

The third proportional to 148,559.63 and 320,219.44 is: 690,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,559.63 : 320,219.44 = 320,219.44 : x
  2. Step 2: Convert to fraction form
    148,559.63/320,219.44 = 320,219.44/x
  3. Step 3: Cross multiply
    148,559.63x = 320,219.44 × 320,219.44
  4. Step 4: Simplify right side
    148,559.63x = 102,540,488,152.82
  5. Step 5: Solve for x
    x = 102,540,488,152.82/148,559.63
  6. Step 6: Final answer
    x = 690,231.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.