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Finding the Third Proportional to 182,472 and 281,412

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Solution

The third proportional to 182,472 and 281,412 is: 433,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,472 : 281,412 = 281,412 : x
  2. Step 2: Convert to fraction form
    182,472/281,412 = 281,412/x
  3. Step 3: Cross multiply
    182,472x = 281,412 × 281,412
  4. Step 4: Simplify right side
    182,472x = 79,192,713,744
  5. Step 5: Solve for x
    x = 79,192,713,744/182,472
  6. Step 6: Final answer
    x = 433,999.26

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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.