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Finding the Third Proportional to 176,949.84 and 281,457.56

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Solution

The third proportional to 176,949.84 and 281,457.56 is: 447,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,949.84 : 281,457.56 = 281,457.56 : x
  2. Step 2: Convert to fraction form
    176,949.84/281,457.56 = 281,457.56/x
  3. Step 3: Cross multiply
    176,949.84x = 281,457.56 × 281,457.56
  4. Step 4: Simplify right side
    176,949.84x = 79,218,359,488.44
  5. Step 5: Solve for x
    x = 79,218,359,488.44/176,949.84
  6. Step 6: Final answer
    x = 447,688.21

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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.