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Finding the Third Proportional to 244,258 and 378,172

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Solution

The third proportional to 244,258 and 378,172 is: 585,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,258 : 378,172 = 378,172 : x
  2. Step 2: Convert to fraction form
    244,258/378,172 = 378,172/x
  3. Step 3: Cross multiply
    244,258x = 378,172 × 378,172
  4. Step 4: Simplify right side
    244,258x = 143,014,061,584
  5. Step 5: Solve for x
    x = 143,014,061,584/244,258
  6. Step 6: Final answer
    x = 585,504.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.