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Finding the Third Proportional to 243,868 and 366,450

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Solution

The third proportional to 243,868 and 366,450 is: 550,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,868 : 366,450 = 366,450 : x
  2. Step 2: Convert to fraction form
    243,868/366,450 = 366,450/x
  3. Step 3: Cross multiply
    243,868x = 366,450 × 366,450
  4. Step 4: Simplify right side
    243,868x = 134,285,602,500
  5. Step 5: Solve for x
    x = 134,285,602,500/243,868
  6. Step 6: Final answer
    x = 550,648.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.