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Finding the Third Proportional to 114,493.50 and 251,704.13

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Solution

The third proportional to 114,493.50 and 251,704.13 is: 553,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,493.50 : 251,704.13 = 251,704.13 : x
  2. Step 2: Convert to fraction form
    114,493.50/251,704.13 = 251,704.13/x
  3. Step 3: Cross multiply
    114,493.50x = 251,704.13 × 251,704.13
  4. Step 4: Simplify right side
    114,493.50x = 63,354,966,542.02
  5. Step 5: Solve for x
    x = 63,354,966,542.02/114,493.50
  6. Step 6: Final answer
    x = 553,349.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.