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Finding the Third Proportional to 148,540.25 and 320,753

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Solution

The third proportional to 148,540.25 and 320,753 is: 692,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,540.25 : 320,753 = 320,753 : x
  2. Step 2: Convert to fraction form
    148,540.25/320,753 = 320,753/x
  3. Step 3: Cross multiply
    148,540.25x = 320,753 × 320,753
  4. Step 4: Simplify right side
    148,540.25x = 102,882,487,009
  5. Step 5: Solve for x
    x = 102,882,487,009/148,540.25
  6. Step 6: Final answer
    x = 692,623.63

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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.