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Finding the Third Proportional to 174,450 and 276,683

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Solution

The third proportional to 174,450 and 276,683 is: 438,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,450 : 276,683 = 276,683 : x
  2. Step 2: Convert to fraction form
    174,450/276,683 = 276,683/x
  3. Step 3: Cross multiply
    174,450x = 276,683 × 276,683
  4. Step 4: Simplify right side
    174,450x = 76,553,482,489
  5. Step 5: Solve for x
    x = 76,553,482,489/174,450
  6. Step 6: Final answer
    x = 438,827.64

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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.