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Finding the Third Proportional to 178,300.50 and 364,799

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Solution

The third proportional to 178,300.50 and 364,799 is: 746,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,300.50 : 364,799 = 364,799 : x
  2. Step 2: Convert to fraction form
    178,300.50/364,799 = 364,799/x
  3. Step 3: Cross multiply
    178,300.50x = 364,799 × 364,799
  4. Step 4: Simplify right side
    178,300.50x = 133,078,310,401
  5. Step 5: Solve for x
    x = 133,078,310,401/178,300.50
  6. Step 6: Final answer
    x = 746,370.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.