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Finding the Third Proportional to 186,068 and 387,880

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Solution

The third proportional to 186,068 and 387,880 is: 808,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,068 : 387,880 = 387,880 : x
  2. Step 2: Convert to fraction form
    186,068/387,880 = 387,880/x
  3. Step 3: Cross multiply
    186,068x = 387,880 × 387,880
  4. Step 4: Simplify right side
    186,068x = 150,450,894,400
  5. Step 5: Solve for x
    x = 150,450,894,400/186,068
  6. Step 6: Final answer
    x = 808,580.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.