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Finding the Third Proportional to 251,940.50 and 385,231

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Solution

The third proportional to 251,940.50 and 385,231 is: 589,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,940.50 : 385,231 = 385,231 : x
  2. Step 2: Convert to fraction form
    251,940.50/385,231 = 385,231/x
  3. Step 3: Cross multiply
    251,940.50x = 385,231 × 385,231
  4. Step 4: Simplify right side
    251,940.50x = 148,402,923,361
  5. Step 5: Solve for x
    x = 148,402,923,361/251,940.50
  6. Step 6: Final answer
    x = 589,039.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.