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Finding the Third Proportional to 176,680.41 and 281,410.88

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Solution

The third proportional to 176,680.41 and 281,410.88 is: 448,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,680.41 : 281,410.88 = 281,410.88 : x
  2. Step 2: Convert to fraction form
    176,680.41/281,410.88 = 281,410.88/x
  3. Step 3: Cross multiply
    176,680.41x = 281,410.88 × 281,410.88
  4. Step 4: Simplify right side
    176,680.41x = 79,192,080,568.27
  5. Step 5: Solve for x
    x = 79,192,080,568.27/176,680.41
  6. Step 6: Final answer
    x = 448,222.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.