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Finding the Third Proportional to 174,932.50 and 365,399

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Solution

The third proportional to 174,932.50 and 365,399 is: 763,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,932.50 : 365,399 = 365,399 : x
  2. Step 2: Convert to fraction form
    174,932.50/365,399 = 365,399/x
  3. Step 3: Cross multiply
    174,932.50x = 365,399 × 365,399
  4. Step 4: Simplify right side
    174,932.50x = 133,516,429,201
  5. Step 5: Solve for x
    x = 133,516,429,201/174,932.50
  6. Step 6: Final answer
    x = 763,245.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.