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Finding the Third Proportional to 148,544 and 320,764

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Solution

The third proportional to 148,544 and 320,764 is: 692,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,544 : 320,764 = 320,764 : x
  2. Step 2: Convert to fraction form
    148,544/320,764 = 320,764/x
  3. Step 3: Cross multiply
    148,544x = 320,764 × 320,764
  4. Step 4: Simplify right side
    148,544x = 102,889,543,696
  5. Step 5: Solve for x
    x = 102,889,543,696/148,544
  6. Step 6: Final answer
    x = 692,653.65

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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.