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Finding the Third Proportional to 176,946.75 and 281,450.25

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Solution

The third proportional to 176,946.75 and 281,450.25 is: 447,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,946.75 : 281,450.25 = 281,450.25 : x
  2. Step 2: Convert to fraction form
    176,946.75/281,450.25 = 281,450.25/x
  3. Step 3: Cross multiply
    176,946.75x = 281,450.25 × 281,450.25
  4. Step 4: Simplify right side
    176,946.75x = 79,214,243,225.06
  5. Step 5: Solve for x
    x = 79,214,243,225.06/176,946.75
  6. Step 6: Final answer
    x = 447,672.78

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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.