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Finding the Third Proportional to 152,520.47 and 231,890.34

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Solution

The third proportional to 152,520.47 and 231,890.34 is: 352,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,520.47 : 231,890.34 = 231,890.34 : x
  2. Step 2: Convert to fraction form
    152,520.47/231,890.34 = 231,890.34/x
  3. Step 3: Cross multiply
    152,520.47x = 231,890.34 × 231,890.34
  4. Step 4: Simplify right side
    152,520.47x = 53,773,131,524.49
  5. Step 5: Solve for x
    x = 53,773,131,524.49/152,520.47
  6. Step 6: Final answer
    x = 352,563.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.