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Finding the Third Proportional to 171,254 and 263,550

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Solution

The third proportional to 171,254 and 263,550 is: 405,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,254 : 263,550 = 263,550 : x
  2. Step 2: Convert to fraction form
    171,254/263,550 = 263,550/x
  3. Step 3: Cross multiply
    171,254x = 263,550 × 263,550
  4. Step 4: Simplify right side
    171,254x = 69,458,602,500
  5. Step 5: Solve for x
    x = 69,458,602,500/171,254
  6. Step 6: Final answer
    x = 405,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.