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Finding the Third Proportional to 148,167.98 and 320,028.47

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Solution

The third proportional to 148,167.98 and 320,028.47 is: 691,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,167.98 : 320,028.47 = 320,028.47 : x
  2. Step 2: Convert to fraction form
    148,167.98/320,028.47 = 320,028.47/x
  3. Step 3: Cross multiply
    148,167.98x = 320,028.47 × 320,028.47
  4. Step 4: Simplify right side
    148,167.98x = 102,418,220,810.47
  5. Step 5: Solve for x
    x = 102,418,220,810.47/148,167.98
  6. Step 6: Final answer
    x = 691,230.44

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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.