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Finding the Third Proportional to 183,498 and 268,167

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Solution

The third proportional to 183,498 and 268,167 is: 391,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,498 : 268,167 = 268,167 : x
  2. Step 2: Convert to fraction form
    183,498/268,167 = 268,167/x
  3. Step 3: Cross multiply
    183,498x = 268,167 × 268,167
  4. Step 4: Simplify right side
    183,498x = 71,913,539,889
  5. Step 5: Solve for x
    x = 71,913,539,889/183,498
  6. Step 6: Final answer
    x = 391,903.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.