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Finding the Third Proportional to 119,075.25 and 256,846.88

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Solution

The third proportional to 119,075.25 and 256,846.88 is: 554,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,075.25 : 256,846.88 = 256,846.88 : x
  2. Step 2: Convert to fraction form
    119,075.25/256,846.88 = 256,846.88/x
  3. Step 3: Cross multiply
    119,075.25x = 256,846.88 × 256,846.88
  4. Step 4: Simplify right side
    119,075.25x = 65,970,317,197.27
  5. Step 5: Solve for x
    x = 65,970,317,197.27/119,075.25
  6. Step 6: Final answer
    x = 554,022.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.