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Finding the Third Proportional to 180,817.44 and 393,780.06

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Solution

The third proportional to 180,817.44 and 393,780.06 is: 857,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,817.44 : 393,780.06 = 393,780.06 : x
  2. Step 2: Convert to fraction form
    180,817.44/393,780.06 = 393,780.06/x
  3. Step 3: Cross multiply
    180,817.44x = 393,780.06 × 393,780.06
  4. Step 4: Simplify right side
    180,817.44x = 155,062,737,622.50
  5. Step 5: Solve for x
    x = 155,062,737,622.50/180,817.44
  6. Step 6: Final answer
    x = 857,565.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.