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Finding the Third Proportional to 186,361.50 and 248,293.50

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Solution

The third proportional to 186,361.50 and 248,293.50 is: 330,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,361.50 : 248,293.50 = 248,293.50 : x
  2. Step 2: Convert to fraction form
    186,361.50/248,293.50 = 248,293.50/x
  3. Step 3: Cross multiply
    186,361.50x = 248,293.50 × 248,293.50
  4. Step 4: Simplify right side
    186,361.50x = 61,649,662,142.25
  5. Step 5: Solve for x
    x = 61,649,662,142.25/186,361.50
  6. Step 6: Final answer
    x = 330,806.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.