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Finding the Third Proportional to 179,613.75 and 299,343.75

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Solution

The third proportional to 179,613.75 and 299,343.75 is: 498,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,613.75 : 299,343.75 = 299,343.75 : x
  2. Step 2: Convert to fraction form
    179,613.75/299,343.75 = 299,343.75/x
  3. Step 3: Cross multiply
    179,613.75x = 299,343.75 × 299,343.75
  4. Step 4: Simplify right side
    179,613.75x = 89,606,680,664.06
  5. Step 5: Solve for x
    x = 89,606,680,664.06/179,613.75
  6. Step 6: Final answer
    x = 498,885.42

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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.