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Finding the Third Proportional to 149,598.56 and 320,211

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Solution

The third proportional to 149,598.56 and 320,211 is: 685,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,598.56 : 320,211 = 320,211 : x
  2. Step 2: Convert to fraction form
    149,598.56/320,211 = 320,211/x
  3. Step 3: Cross multiply
    149,598.56x = 320,211 × 320,211
  4. Step 4: Simplify right side
    149,598.56x = 102,535,084,521
  5. Step 5: Solve for x
    x = 102,535,084,521/149,598.56
  6. Step 6: Final answer
    x = 685,401.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.