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Finding the Third Proportional to 178,293 and 371,526

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Solution

The third proportional to 178,293 and 371,526 is: 774,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,293 : 371,526 = 371,526 : x
  2. Step 2: Convert to fraction form
    178,293/371,526 = 371,526/x
  3. Step 3: Cross multiply
    178,293x = 371,526 × 371,526
  4. Step 4: Simplify right side
    178,293x = 138,031,568,676
  5. Step 5: Solve for x
    x = 138,031,568,676/178,293
  6. Step 6: Final answer
    x = 774,183.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.