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Finding the Third Proportional to 166,168.50 and 362,412

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Solution

The third proportional to 166,168.50 and 362,412 is: 790,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,168.50 : 362,412 = 362,412 : x
  2. Step 2: Convert to fraction form
    166,168.50/362,412 = 362,412/x
  3. Step 3: Cross multiply
    166,168.50x = 362,412 × 362,412
  4. Step 4: Simplify right side
    166,168.50x = 131,342,457,744
  5. Step 5: Solve for x
    x = 131,342,457,744/166,168.50
  6. Step 6: Final answer
    x = 790,417.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.