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Finding the Third Proportional to 245,615 and 366,901

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Solution

The third proportional to 245,615 and 366,901 is: 548,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,615 : 366,901 = 366,901 : x
  2. Step 2: Convert to fraction form
    245,615/366,901 = 366,901/x
  3. Step 3: Cross multiply
    245,615x = 366,901 × 366,901
  4. Step 4: Simplify right side
    245,615x = 134,616,343,801
  5. Step 5: Solve for x
    x = 134,616,343,801/245,615
  6. Step 6: Final answer
    x = 548,078.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.