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Finding the Third Proportional to 147,974.50 and 320,848

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Solution

The third proportional to 147,974.50 and 320,848 is: 695,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,974.50 : 320,848 = 320,848 : x
  2. Step 2: Convert to fraction form
    147,974.50/320,848 = 320,848/x
  3. Step 3: Cross multiply
    147,974.50x = 320,848 × 320,848
  4. Step 4: Simplify right side
    147,974.50x = 102,943,439,104
  5. Step 5: Solve for x
    x = 102,943,439,104/147,974.50
  6. Step 6: Final answer
    x = 695,683.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.