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Finding the Third Proportional to 119,334 and 255,075

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Solution

The third proportional to 119,334 and 255,075 is: 545,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,334 : 255,075 = 255,075 : x
  2. Step 2: Convert to fraction form
    119,334/255,075 = 255,075/x
  3. Step 3: Cross multiply
    119,334x = 255,075 × 255,075
  4. Step 4: Simplify right side
    119,334x = 65,063,255,625
  5. Step 5: Solve for x
    x = 65,063,255,625/119,334
  6. Step 6: Final answer
    x = 545,219.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.