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Finding the Third Proportional to 148,618.50 and 320,925

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Solution

The third proportional to 148,618.50 and 320,925 is: 693,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,618.50 : 320,925 = 320,925 : x
  2. Step 2: Convert to fraction form
    148,618.50/320,925 = 320,925/x
  3. Step 3: Cross multiply
    148,618.50x = 320,925 × 320,925
  4. Step 4: Simplify right side
    148,618.50x = 102,992,855,625
  5. Step 5: Solve for x
    x = 102,992,855,625/148,618.50
  6. Step 6: Final answer
    x = 693,001.58

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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.