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Finding the Third Proportional to 178,481 and 371,758

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Solution

The third proportional to 178,481 and 371,758 is: 774,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,481 : 371,758 = 371,758 : x
  2. Step 2: Convert to fraction form
    178,481/371,758 = 371,758/x
  3. Step 3: Cross multiply
    178,481x = 371,758 × 371,758
  4. Step 4: Simplify right side
    178,481x = 138,204,010,564
  5. Step 5: Solve for x
    x = 138,204,010,564/178,481
  6. Step 6: Final answer
    x = 774,334.58

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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.