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Finding the Third Proportional to 111,726.75 and 228,374.25

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Solution

The third proportional to 111,726.75 and 228,374.25 is: 466,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,726.75 : 228,374.25 = 228,374.25 : x
  2. Step 2: Convert to fraction form
    111,726.75/228,374.25 = 228,374.25/x
  3. Step 3: Cross multiply
    111,726.75x = 228,374.25 × 228,374.25
  4. Step 4: Simplify right side
    111,726.75x = 52,154,798,063.06
  5. Step 5: Solve for x
    x = 52,154,798,063.06/111,726.75
  6. Step 6: Final answer
    x = 466,806.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.