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Finding the Third Proportional to 186,772 and 268,488

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Solution

The third proportional to 186,772 and 268,488 is: 385,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,772 : 268,488 = 268,488 : x
  2. Step 2: Convert to fraction form
    186,772/268,488 = 268,488/x
  3. Step 3: Cross multiply
    186,772x = 268,488 × 268,488
  4. Step 4: Simplify right side
    186,772x = 72,085,806,144
  5. Step 5: Solve for x
    x = 72,085,806,144/186,772
  6. Step 6: Final answer
    x = 385,956.17

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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.