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Finding the Third Proportional to 186,715.50 and 268,409.25

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Solution

The third proportional to 186,715.50 and 268,409.25 is: 385,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715.50 : 268,409.25 = 268,409.25 : x
  2. Step 2: Convert to fraction form
    186,715.50/268,409.25 = 268,409.25/x
  3. Step 3: Cross multiply
    186,715.50x = 268,409.25 × 268,409.25
  4. Step 4: Simplify right side
    186,715.50x = 72,043,525,485.56
  5. Step 5: Solve for x
    x = 72,043,525,485.56/186,715.50
  6. Step 6: Final answer
    x = 385,846.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.