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Finding the Third Proportional to 114,048 and 264,303

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Solution

The third proportional to 114,048 and 264,303 is: 612,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,048 : 264,303 = 264,303 : x
  2. Step 2: Convert to fraction form
    114,048/264,303 = 264,303/x
  3. Step 3: Cross multiply
    114,048x = 264,303 × 264,303
  4. Step 4: Simplify right side
    114,048x = 69,856,075,809
  5. Step 5: Solve for x
    x = 69,856,075,809/114,048
  6. Step 6: Final answer
    x = 612,514.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.