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Finding the Third Proportional to 178,384 and 371,524

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Solution

The third proportional to 178,384 and 371,524 is: 773,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,384 : 371,524 = 371,524 : x
  2. Step 2: Convert to fraction form
    178,384/371,524 = 371,524/x
  3. Step 3: Cross multiply
    178,384x = 371,524 × 371,524
  4. Step 4: Simplify right side
    178,384x = 138,030,082,576
  5. Step 5: Solve for x
    x = 138,030,082,576/178,384
  6. Step 6: Final answer
    x = 773,780.62

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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.