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Finding the Third Proportional to 186,742 and 289,636

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Solution

The third proportional to 186,742 and 289,636 is: 449,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,742 : 289,636 = 289,636 : x
  2. Step 2: Convert to fraction form
    186,742/289,636 = 289,636/x
  3. Step 3: Cross multiply
    186,742x = 289,636 × 289,636
  4. Step 4: Simplify right side
    186,742x = 83,889,012,496
  5. Step 5: Solve for x
    x = 83,889,012,496/186,742
  6. Step 6: Final answer
    x = 449,224.13

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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.