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Finding the Third Proportional to 80,202 and 174,258

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Solution

The third proportional to 80,202 and 174,258 is: 378,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,202 : 174,258 = 174,258 : x
  2. Step 2: Convert to fraction form
    80,202/174,258 = 174,258/x
  3. Step 3: Cross multiply
    80,202x = 174,258 × 174,258
  4. Step 4: Simplify right side
    80,202x = 30,365,850,564
  5. Step 5: Solve for x
    x = 30,365,850,564/80,202
  6. Step 6: Final answer
    x = 378,617.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.