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Finding the Third Proportional to 147,082.22 and 321,137.63

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Solution

The third proportional to 147,082.22 and 321,137.63 is: 701,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,082.22 : 321,137.63 = 321,137.63 : x
  2. Step 2: Convert to fraction form
    147,082.22/321,137.63 = 321,137.63/x
  3. Step 3: Cross multiply
    147,082.22x = 321,137.63 × 321,137.63
  4. Step 4: Simplify right side
    147,082.22x = 103,129,374,190.64
  5. Step 5: Solve for x
    x = 103,129,374,190.64/147,082.22
  6. Step 6: Final answer
    x = 701,168.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.