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Finding the Third Proportional to 149,041 and 230,258

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Solution

The third proportional to 149,041 and 230,258 is: 355,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,041 : 230,258 = 230,258 : x
  2. Step 2: Convert to fraction form
    149,041/230,258 = 230,258/x
  3. Step 3: Cross multiply
    149,041x = 230,258 × 230,258
  4. Step 4: Simplify right side
    149,041x = 53,018,746,564
  5. Step 5: Solve for x
    x = 53,018,746,564/149,041
  6. Step 6: Final answer
    x = 355,732.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.