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Finding the Third Proportional to 149,254.50 and 231,111

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Solution

The third proportional to 149,254.50 and 231,111 is: 357,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,254.50 : 231,111 = 231,111 : x
  2. Step 2: Convert to fraction form
    149,254.50/231,111 = 231,111/x
  3. Step 3: Cross multiply
    149,254.50x = 231,111 × 231,111
  4. Step 4: Simplify right side
    149,254.50x = 53,412,294,321
  5. Step 5: Solve for x
    x = 53,412,294,321/149,254.50
  6. Step 6: Final answer
    x = 357,860.53

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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.