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Finding the Third Proportional to 171,290 and 263,487

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Solution

The third proportional to 171,290 and 263,487 is: 405,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,290 : 263,487 = 263,487 : x
  2. Step 2: Convert to fraction form
    171,290/263,487 = 263,487/x
  3. Step 3: Cross multiply
    171,290x = 263,487 × 263,487
  4. Step 4: Simplify right side
    171,290x = 69,425,399,169
  5. Step 5: Solve for x
    x = 69,425,399,169/171,290
  6. Step 6: Final answer
    x = 405,309.12

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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.