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Finding the Third Proportional to 74,189 and 160,258

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Solution

The third proportional to 74,189 and 160,258 is: 346,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,189 : 160,258 = 160,258 : x
  2. Step 2: Convert to fraction form
    74,189/160,258 = 160,258/x
  3. Step 3: Cross multiply
    74,189x = 160,258 × 160,258
  4. Step 4: Simplify right side
    74,189x = 25,682,626,564
  5. Step 5: Solve for x
    x = 25,682,626,564/74,189
  6. Step 6: Final answer
    x = 346,178.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.