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Finding the Third Proportional to 186,768 and 289,677

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Solution

The third proportional to 186,768 and 289,677 is: 449,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,768 : 289,677 = 289,677 : x
  2. Step 2: Convert to fraction form
    186,768/289,677 = 289,677/x
  3. Step 3: Cross multiply
    186,768x = 289,677 × 289,677
  4. Step 4: Simplify right side
    186,768x = 83,912,764,329
  5. Step 5: Solve for x
    x = 83,912,764,329/186,768
  6. Step 6: Final answer
    x = 449,288.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.