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Finding the Third Proportional to 186,635 and 402,427

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Solution

The third proportional to 186,635 and 402,427 is: 867,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,635 : 402,427 = 402,427 : x
  2. Step 2: Convert to fraction form
    186,635/402,427 = 402,427/x
  3. Step 3: Cross multiply
    186,635x = 402,427 × 402,427
  4. Step 4: Simplify right side
    186,635x = 161,947,490,329
  5. Step 5: Solve for x
    x = 161,947,490,329/186,635
  6. Step 6: Final answer
    x = 867,723.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.