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Finding the Third Proportional to 174,656 and 263,001

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Solution

The third proportional to 174,656 and 263,001 is: 396,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,656 : 263,001 = 263,001 : x
  2. Step 2: Convert to fraction form
    174,656/263,001 = 263,001/x
  3. Step 3: Cross multiply
    174,656x = 263,001 × 263,001
  4. Step 4: Simplify right side
    174,656x = 69,169,526,001
  5. Step 5: Solve for x
    x = 69,169,526,001/174,656
  6. Step 6: Final answer
    x = 396,032.92

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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.