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Finding the Third Proportional to 149,906 and 230,647

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Solution

The third proportional to 149,906 and 230,647 is: 354,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,906 : 230,647 = 230,647 : x
  2. Step 2: Convert to fraction form
    149,906/230,647 = 230,647/x
  3. Step 3: Cross multiply
    149,906x = 230,647 × 230,647
  4. Step 4: Simplify right side
    149,906x = 53,198,038,609
  5. Step 5: Solve for x
    x = 53,198,038,609/149,906
  6. Step 6: Final answer
    x = 354,875.98

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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.