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Finding the Third Proportional to 186,766.50 and 399,777

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Solution

The third proportional to 186,766.50 and 399,777 is: 855,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,766.50 : 399,777 = 399,777 : x
  2. Step 2: Convert to fraction form
    186,766.50/399,777 = 399,777/x
  3. Step 3: Cross multiply
    186,766.50x = 399,777 × 399,777
  4. Step 4: Simplify right side
    186,766.50x = 159,821,649,729
  5. Step 5: Solve for x
    x = 159,821,649,729/186,766.50
  6. Step 6: Final answer
    x = 855,729.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.