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Finding the Third Proportional to 182,253 and 256,538

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Solution

The third proportional to 182,253 and 256,538 is: 361,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,253 : 256,538 = 256,538 : x
  2. Step 2: Convert to fraction form
    182,253/256,538 = 256,538/x
  3. Step 3: Cross multiply
    182,253x = 256,538 × 256,538
  4. Step 4: Simplify right side
    182,253x = 65,811,745,444
  5. Step 5: Solve for x
    x = 65,811,745,444/182,253
  6. Step 6: Final answer
    x = 361,101.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.