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Finding the Third Proportional to 148,571 and 230,147

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Solution

The third proportional to 148,571 and 230,147 is: 356,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,571 : 230,147 = 230,147 : x
  2. Step 2: Convert to fraction form
    148,571/230,147 = 230,147/x
  3. Step 3: Cross multiply
    148,571x = 230,147 × 230,147
  4. Step 4: Simplify right side
    148,571x = 52,967,641,609
  5. Step 5: Solve for x
    x = 52,967,641,609/148,571
  6. Step 6: Final answer
    x = 356,514.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.