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Finding the Third Proportional to 109,072 and 228,078

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Solution

The third proportional to 109,072 and 228,078 is: 476,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,072 : 228,078 = 228,078 : x
  2. Step 2: Convert to fraction form
    109,072/228,078 = 228,078/x
  3. Step 3: Cross multiply
    109,072x = 228,078 × 228,078
  4. Step 4: Simplify right side
    109,072x = 52,019,574,084
  5. Step 5: Solve for x
    x = 52,019,574,084/109,072
  6. Step 6: Final answer
    x = 476,928.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.