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Finding the Third Proportional to 164,477 and 246,048.50

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Solution

The third proportional to 164,477 and 246,048.50 is: 368,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,477 : 246,048.50 = 246,048.50 : x
  2. Step 2: Convert to fraction form
    164,477/246,048.50 = 246,048.50/x
  3. Step 3: Cross multiply
    164,477x = 246,048.50 × 246,048.50
  4. Step 4: Simplify right side
    164,477x = 60,539,864,352.25
  5. Step 5: Solve for x
    x = 60,539,864,352.25/164,477
  6. Step 6: Final answer
    x = 368,074.95

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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.