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Finding the Third Proportional to 179,670.50 and 299,462

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Solution

The third proportional to 179,670.50 and 299,462 is: 499,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,670.50 : 299,462 = 299,462 : x
  2. Step 2: Convert to fraction form
    179,670.50/299,462 = 299,462/x
  3. Step 3: Cross multiply
    179,670.50x = 299,462 × 299,462
  4. Step 4: Simplify right side
    179,670.50x = 89,677,489,444
  5. Step 5: Solve for x
    x = 89,677,489,444/179,670.50
  6. Step 6: Final answer
    x = 499,121.95

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.