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Finding the Third Proportional to 164,018 and 245,172

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Solution

The third proportional to 164,018 and 245,172 is: 366,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,018 : 245,172 = 245,172 : x
  2. Step 2: Convert to fraction form
    164,018/245,172 = 245,172/x
  3. Step 3: Cross multiply
    164,018x = 245,172 × 245,172
  4. Step 4: Simplify right side
    164,018x = 60,109,309,584
  5. Step 5: Solve for x
    x = 60,109,309,584/164,018
  6. Step 6: Final answer
    x = 366,479.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.