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Finding the Third Proportional to 164,442 and 246,002

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Solution

The third proportional to 164,442 and 246,002 is: 368,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,442 : 246,002 = 246,002 : x
  2. Step 2: Convert to fraction form
    164,442/246,002 = 246,002/x
  3. Step 3: Cross multiply
    164,442x = 246,002 × 246,002
  4. Step 4: Simplify right side
    164,442x = 60,516,984,004
  5. Step 5: Solve for x
    x = 60,516,984,004/164,442
  6. Step 6: Final answer
    x = 368,014.16

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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.