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Finding the Third Proportional to 166,768 and 393,428

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Solution

The third proportional to 166,768 and 393,428 is: 928,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,768 : 393,428 = 393,428 : x
  2. Step 2: Convert to fraction form
    166,768/393,428 = 393,428/x
  3. Step 3: Cross multiply
    166,768x = 393,428 × 393,428
  4. Step 4: Simplify right side
    166,768x = 154,785,591,184
  5. Step 5: Solve for x
    x = 154,785,591,184/166,768
  6. Step 6: Final answer
    x = 928,149.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.