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Finding the Third Proportional to 111,520 and 228,472

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Solution

The third proportional to 111,520 and 228,472 is: 468,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,520 : 228,472 = 228,472 : x
  2. Step 2: Convert to fraction form
    111,520/228,472 = 228,472/x
  3. Step 3: Cross multiply
    111,520x = 228,472 × 228,472
  4. Step 4: Simplify right side
    111,520x = 52,199,454,784
  5. Step 5: Solve for x
    x = 52,199,454,784/111,520
  6. Step 6: Final answer
    x = 468,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.