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Finding the Third Proportional to 179,620.50 and 299,355

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Solution

The third proportional to 179,620.50 and 299,355 is: 498,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,620.50 : 299,355 = 299,355 : x
  2. Step 2: Convert to fraction form
    179,620.50/299,355 = 299,355/x
  3. Step 3: Cross multiply
    179,620.50x = 299,355 × 299,355
  4. Step 4: Simplify right side
    179,620.50x = 89,613,416,025
  5. Step 5: Solve for x
    x = 89,613,416,025/179,620.50
  6. Step 6: Final answer
    x = 498,904.17

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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.