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Finding the Third Proportional to 171,213 and 263,502

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Solution

The third proportional to 171,213 and 263,502 is: 405,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,213 : 263,502 = 263,502 : x
  2. Step 2: Convert to fraction form
    171,213/263,502 = 263,502/x
  3. Step 3: Cross multiply
    171,213x = 263,502 × 263,502
  4. Step 4: Simplify right side
    171,213x = 69,433,304,004
  5. Step 5: Solve for x
    x = 69,433,304,004/171,213
  6. Step 6: Final answer
    x = 405,537.57

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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.