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Finding the Third Proportional to 168,381 and 368,433

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Solution

The third proportional to 168,381 and 368,433 is: 806,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,381 : 368,433 = 368,433 : x
  2. Step 2: Convert to fraction form
    168,381/368,433 = 368,433/x
  3. Step 3: Cross multiply
    168,381x = 368,433 × 368,433
  4. Step 4: Simplify right side
    168,381x = 135,742,875,489
  5. Step 5: Solve for x
    x = 135,742,875,489/168,381
  6. Step 6: Final answer
    x = 806,165.04

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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.