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Finding the Third Proportional to 174,933 and 263,633.06

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Solution

The third proportional to 174,933 and 263,633.06 is: 397,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,933 : 263,633.06 = 263,633.06 : x
  2. Step 2: Convert to fraction form
    174,933/263,633.06 = 263,633.06/x
  3. Step 3: Cross multiply
    174,933x = 263,633.06 × 263,633.06
  4. Step 4: Simplify right side
    174,933x = 69,502,391,643.13
  5. Step 5: Solve for x
    x = 69,502,391,643.13/174,933
  6. Step 6: Final answer
    x = 397,308.64

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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.