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Finding the Third Proportional to 164,734 and 246,363

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Solution

The third proportional to 164,734 and 246,363 is: 368,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,734 : 246,363 = 246,363 : x
  2. Step 2: Convert to fraction form
    164,734/246,363 = 246,363/x
  3. Step 3: Cross multiply
    164,734x = 246,363 × 246,363
  4. Step 4: Simplify right side
    164,734x = 60,694,727,769
  5. Step 5: Solve for x
    x = 60,694,727,769/164,734
  6. Step 6: Final answer
    x = 368,440.81

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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.