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Finding the Third Proportional to 187,362 and 281,047

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Solution

The third proportional to 187,362 and 281,047 is: 421,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,362 : 281,047 = 281,047 : x
  2. Step 2: Convert to fraction form
    187,362/281,047 = 281,047/x
  3. Step 3: Cross multiply
    187,362x = 281,047 × 281,047
  4. Step 4: Simplify right side
    187,362x = 78,987,416,209
  5. Step 5: Solve for x
    x = 78,987,416,209/187,362
  6. Step 6: Final answer
    x = 421,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.