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Finding the Third Proportional to 186,651 and 289,487.25

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Solution

The third proportional to 186,651 and 289,487.25 is: 448,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,651 : 289,487.25 = 289,487.25 : x
  2. Step 2: Convert to fraction form
    186,651/289,487.25 = 289,487.25/x
  3. Step 3: Cross multiply
    186,651x = 289,487.25 × 289,487.25
  4. Step 4: Simplify right side
    186,651x = 83,802,867,912.56
  5. Step 5: Solve for x
    x = 83,802,867,912.56/186,651
  6. Step 6: Final answer
    x = 448,981.62

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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.