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Finding the Third Proportional to 169,551.75 and 262,297.50

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Solution

The third proportional to 169,551.75 and 262,297.50 is: 405,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,551.75 : 262,297.50 = 262,297.50 : x
  2. Step 2: Convert to fraction form
    169,551.75/262,297.50 = 262,297.50/x
  3. Step 3: Cross multiply
    169,551.75x = 262,297.50 × 262,297.50
  4. Step 4: Simplify right side
    169,551.75x = 68,799,978,506.25
  5. Step 5: Solve for x
    x = 68,799,978,506.25/169,551.75
  6. Step 6: Final answer
    x = 405,775.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.