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Finding the Third Proportional to 186,676 and 409,652

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Solution

The third proportional to 186,676 and 409,652 is: 898,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,676 : 409,652 = 409,652 : x
  2. Step 2: Convert to fraction form
    186,676/409,652 = 409,652/x
  3. Step 3: Cross multiply
    186,676x = 409,652 × 409,652
  4. Step 4: Simplify right side
    186,676x = 167,814,761,104
  5. Step 5: Solve for x
    x = 167,814,761,104/186,676
  6. Step 6: Final answer
    x = 898,962.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.