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Finding the Third Proportional to 256,111.50 and 279,075

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Solution

The third proportional to 256,111.50 and 279,075 is: 304,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.50 : 279,075 = 279,075 : x
  2. Step 2: Convert to fraction form
    256,111.50/279,075 = 279,075/x
  3. Step 3: Cross multiply
    256,111.50x = 279,075 × 279,075
  4. Step 4: Simplify right side
    256,111.50x = 77,882,855,625
  5. Step 5: Solve for x
    x = 77,882,855,625/256,111.50
  6. Step 6: Final answer
    x = 304,097.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.