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Finding the Third Proportional to 173,518.25 and 262,464.25

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Solution

The third proportional to 173,518.25 and 262,464.25 is: 397,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,518.25 : 262,464.25 = 262,464.25 : x
  2. Step 2: Convert to fraction form
    173,518.25/262,464.25 = 262,464.25/x
  3. Step 3: Cross multiply
    173,518.25x = 262,464.25 × 262,464.25
  4. Step 4: Simplify right side
    173,518.25x = 68,887,482,528.06
  5. Step 5: Solve for x
    x = 68,887,482,528.06/173,518.25
  6. Step 6: Final answer
    x = 397,004.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.