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Finding the Third Proportional to 147,768.75 and 320,305.50

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Solution

The third proportional to 147,768.75 and 320,305.50 is: 694,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,768.75 : 320,305.50 = 320,305.50 : x
  2. Step 2: Convert to fraction form
    147,768.75/320,305.50 = 320,305.50/x
  3. Step 3: Cross multiply
    147,768.75x = 320,305.50 × 320,305.50
  4. Step 4: Simplify right side
    147,768.75x = 102,595,613,330.25
  5. Step 5: Solve for x
    x = 102,595,613,330.25/147,768.75
  6. Step 6: Final answer
    x = 694,298.44

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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.