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Finding the Third Proportional to 281,853 and 436,234.50

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Solution

The third proportional to 281,853 and 436,234.50 is: 675,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,853 : 436,234.50 = 436,234.50 : x
  2. Step 2: Convert to fraction form
    281,853/436,234.50 = 436,234.50/x
  3. Step 3: Cross multiply
    281,853x = 436,234.50 × 436,234.50
  4. Step 4: Simplify right side
    281,853x = 190,300,538,990.25
  5. Step 5: Solve for x
    x = 190,300,538,990.25/281,853
  6. Step 6: Final answer
    x = 675,176.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.