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Finding the Third Proportional to 186,764 and 268,476

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Solution

The third proportional to 186,764 and 268,476 is: 385,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764 : 268,476 = 268,476 : x
  2. Step 2: Convert to fraction form
    186,764/268,476 = 268,476/x
  3. Step 3: Cross multiply
    186,764x = 268,476 × 268,476
  4. Step 4: Simplify right side
    186,764x = 72,079,362,576
  5. Step 5: Solve for x
    x = 72,079,362,576/186,764
  6. Step 6: Final answer
    x = 385,938.20

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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.