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Finding the Third Proportional to 177,453 and 255,075.75

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Solution

The third proportional to 177,453 and 255,075.75 is: 366,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 255,075.75 = 255,075.75 : x
  2. Step 2: Convert to fraction form
    177,453/255,075.75 = 255,075.75/x
  3. Step 3: Cross multiply
    177,453x = 255,075.75 × 255,075.75
  4. Step 4: Simplify right side
    177,453x = 65,063,638,238.06
  5. Step 5: Solve for x
    x = 65,063,638,238.06/177,453
  6. Step 6: Final answer
    x = 366,652.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.