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Finding the Third Proportional to 114,075 and 254,394

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Solution

The third proportional to 114,075 and 254,394 is: 567,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,075 : 254,394 = 254,394 : x
  2. Step 2: Convert to fraction form
    114,075/254,394 = 254,394/x
  3. Step 3: Cross multiply
    114,075x = 254,394 × 254,394
  4. Step 4: Simplify right side
    114,075x = 64,716,307,236
  5. Step 5: Solve for x
    x = 64,716,307,236/114,075
  6. Step 6: Final answer
    x = 567,313.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.