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Finding the Third Proportional to 147,999 and 320,905.50

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Solution

The third proportional to 147,999 and 320,905.50 is: 695,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,999 : 320,905.50 = 320,905.50 : x
  2. Step 2: Convert to fraction form
    147,999/320,905.50 = 320,905.50/x
  3. Step 3: Cross multiply
    147,999x = 320,905.50 × 320,905.50
  4. Step 4: Simplify right side
    147,999x = 102,980,339,930.25
  5. Step 5: Solve for x
    x = 102,980,339,930.25/147,999
  6. Step 6: Final answer
    x = 695,817.81

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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.