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Finding the Third Proportional to 164,624 and 246,232

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Solution

The third proportional to 164,624 and 246,232 is: 368,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,624 : 246,232 = 246,232 : x
  2. Step 2: Convert to fraction form
    164,624/246,232 = 246,232/x
  3. Step 3: Cross multiply
    164,624x = 246,232 × 246,232
  4. Step 4: Simplify right side
    164,624x = 60,630,197,824
  5. Step 5: Solve for x
    x = 60,630,197,824/164,624
  6. Step 6: Final answer
    x = 368,295.01

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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.