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Finding the Third Proportional to 163,530 and 362,034

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Solution

The third proportional to 163,530 and 362,034 is: 801,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,530 : 362,034 = 362,034 : x
  2. Step 2: Convert to fraction form
    163,530/362,034 = 362,034/x
  3. Step 3: Cross multiply
    163,530x = 362,034 × 362,034
  4. Step 4: Simplify right side
    163,530x = 131,068,617,156
  5. Step 5: Solve for x
    x = 131,068,617,156/163,530
  6. Step 6: Final answer
    x = 801,495.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.