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Finding the Third Proportional to 233,971 and 258,575

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Solution

The third proportional to 233,971 and 258,575 is: 285,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,971 : 258,575 = 258,575 : x
  2. Step 2: Convert to fraction form
    233,971/258,575 = 258,575/x
  3. Step 3: Cross multiply
    233,971x = 258,575 × 258,575
  4. Step 4: Simplify right side
    233,971x = 66,861,030,625
  5. Step 5: Solve for x
    x = 66,861,030,625/233,971
  6. Step 6: Final answer
    x = 285,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.