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Finding the Third Proportional to 166,498 and 366,928

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Solution

The third proportional to 166,498 and 366,928 is: 808,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,498 : 366,928 = 366,928 : x
  2. Step 2: Convert to fraction form
    166,498/366,928 = 366,928/x
  3. Step 3: Cross multiply
    166,498x = 366,928 × 366,928
  4. Step 4: Simplify right side
    166,498x = 134,636,157,184
  5. Step 5: Solve for x
    x = 134,636,157,184/166,498
  6. Step 6: Final answer
    x = 808,635.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.