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Finding the Third Proportional to 114,114 and 251,552

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Solution

The third proportional to 114,114 and 251,552 is: 554,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,114 : 251,552 = 251,552 : x
  2. Step 2: Convert to fraction form
    114,114/251,552 = 251,552/x
  3. Step 3: Cross multiply
    114,114x = 251,552 × 251,552
  4. Step 4: Simplify right side
    114,114x = 63,278,408,704
  5. Step 5: Solve for x
    x = 63,278,408,704/114,114
  6. Step 6: Final answer
    x = 554,519.24

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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.