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Finding the Third Proportional to 240,660 and 369,945

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Solution

The third proportional to 240,660 and 369,945 is: 568,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,660 : 369,945 = 369,945 : x
  2. Step 2: Convert to fraction form
    240,660/369,945 = 369,945/x
  3. Step 3: Cross multiply
    240,660x = 369,945 × 369,945
  4. Step 4: Simplify right side
    240,660x = 136,859,303,025
  5. Step 5: Solve for x
    x = 136,859,303,025/240,660
  6. Step 6: Final answer
    x = 568,683.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.