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Finding the Third Proportional to 186,774 and 268,491

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Solution

The third proportional to 186,774 and 268,491 is: 385,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,774 : 268,491 = 268,491 : x
  2. Step 2: Convert to fraction form
    186,774/268,491 = 268,491/x
  3. Step 3: Cross multiply
    186,774x = 268,491 × 268,491
  4. Step 4: Simplify right side
    186,774x = 72,087,417,081
  5. Step 5: Solve for x
    x = 72,087,417,081/186,774
  6. Step 6: Final answer
    x = 385,960.66

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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.