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Finding the Third Proportional to 164,474 and 246,044

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Solution

The third proportional to 164,474 and 246,044 is: 368,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,474 : 246,044 = 246,044 : x
  2. Step 2: Convert to fraction form
    164,474/246,044 = 246,044/x
  3. Step 3: Cross multiply
    164,474x = 246,044 × 246,044
  4. Step 4: Simplify right side
    164,474x = 60,537,649,936
  5. Step 5: Solve for x
    x = 60,537,649,936/164,474
  6. Step 6: Final answer
    x = 368,068.20

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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.