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Finding the Third Proportional to 148,167 and 320,027.63

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Solution

The third proportional to 148,167 and 320,027.63 is: 691,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,167 : 320,027.63 = 320,027.63 : x
  2. Step 2: Convert to fraction form
    148,167/320,027.63 = 320,027.63/x
  3. Step 3: Cross multiply
    148,167x = 320,027.63 × 320,027.63
  4. Step 4: Simplify right side
    148,167x = 102,417,680,763.14
  5. Step 5: Solve for x
    x = 102,417,680,763.14/148,167
  6. Step 6: Final answer
    x = 691,231.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.