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Finding the Third Proportional to 147,968.44 and 320,835.94

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Solution

The third proportional to 147,968.44 and 320,835.94 is: 695,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,968.44 : 320,835.94 = 320,835.94 : x
  2. Step 2: Convert to fraction form
    147,968.44/320,835.94 = 320,835.94/x
  3. Step 3: Cross multiply
    147,968.44x = 320,835.94 × 320,835.94
  4. Step 4: Simplify right side
    147,968.44x = 102,935,698,791.50
  5. Step 5: Solve for x
    x = 102,935,698,791.50/147,968.44
  6. Step 6: Final answer
    x = 695,659.83

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Why These Related Problems?

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