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Finding the Third Proportional to 174,777.75 and 262,075.50

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Solution

The third proportional to 174,777.75 and 262,075.50 is: 392,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,777.75 : 262,075.50 = 262,075.50 : x
  2. Step 2: Convert to fraction form
    174,777.75/262,075.50 = 262,075.50/x
  3. Step 3: Cross multiply
    174,777.75x = 262,075.50 × 262,075.50
  4. Step 4: Simplify right side
    174,777.75x = 68,683,567,700.25
  5. Step 5: Solve for x
    x = 68,683,567,700.25/174,777.75
  6. Step 6: Final answer
    x = 392,976.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.