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Finding the Third Proportional to 164,730 and 246,357

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Solution

The third proportional to 164,730 and 246,357 is: 368,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,730 : 246,357 = 246,357 : x
  2. Step 2: Convert to fraction form
    164,730/246,357 = 246,357/x
  3. Step 3: Cross multiply
    164,730x = 246,357 × 246,357
  4. Step 4: Simplify right side
    164,730x = 60,691,771,449
  5. Step 5: Solve for x
    x = 60,691,771,449/164,730
  6. Step 6: Final answer
    x = 368,431.81

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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.