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Finding the Third Proportional to 186,704 and 409,696

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Solution

The third proportional to 186,704 and 409,696 is: 899,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,704 : 409,696 = 409,696 : x
  2. Step 2: Convert to fraction form
    186,704/409,696 = 409,696/x
  3. Step 3: Cross multiply
    186,704x = 409,696 × 409,696
  4. Step 4: Simplify right side
    186,704x = 167,850,812,416
  5. Step 5: Solve for x
    x = 167,850,812,416/186,704
  6. Step 6: Final answer
    x = 899,020.98

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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.