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Finding the Third Proportional to 186,636 and 404,376

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Solution

The third proportional to 186,636 and 404,376 is: 876,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,636 : 404,376 = 404,376 : x
  2. Step 2: Convert to fraction form
    186,636/404,376 = 404,376/x
  3. Step 3: Cross multiply
    186,636x = 404,376 × 404,376
  4. Step 4: Simplify right side
    186,636x = 163,519,949,376
  5. Step 5: Solve for x
    x = 163,519,949,376/186,636
  6. Step 6: Final answer
    x = 876,143.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.