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Finding the Third Proportional to 117,284.50 and 256,075

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Solution

The third proportional to 117,284.50 and 256,075 is: 559,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284.50 : 256,075 = 256,075 : x
  2. Step 2: Convert to fraction form
    117,284.50/256,075 = 256,075/x
  3. Step 3: Cross multiply
    117,284.50x = 256,075 × 256,075
  4. Step 4: Simplify right side
    117,284.50x = 65,574,405,625
  5. Step 5: Solve for x
    x = 65,574,405,625/117,284.50
  6. Step 6: Final answer
    x = 559,105.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.