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Finding the Third Proportional to 164,726 and 246,351

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Solution

The third proportional to 164,726 and 246,351 is: 368,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,726 : 246,351 = 246,351 : x
  2. Step 2: Convert to fraction form
    164,726/246,351 = 246,351/x
  3. Step 3: Cross multiply
    164,726x = 246,351 × 246,351
  4. Step 4: Simplify right side
    164,726x = 60,688,815,201
  5. Step 5: Solve for x
    x = 60,688,815,201/164,726
  6. Step 6: Final answer
    x = 368,422.81

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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.