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Finding the Third Proportional to 114,672.75 and 259,075.25

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Solution

The third proportional to 114,672.75 and 259,075.25 is: 585,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,672.75 : 259,075.25 = 259,075.25 : x
  2. Step 2: Convert to fraction form
    114,672.75/259,075.25 = 259,075.25/x
  3. Step 3: Cross multiply
    114,672.75x = 259,075.25 × 259,075.25
  4. Step 4: Simplify right side
    114,672.75x = 67,119,985,162.56
  5. Step 5: Solve for x
    x = 67,119,985,162.56/114,672.75
  6. Step 6: Final answer
    x = 585,317.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.