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Finding the Third Proportional to 106,048 and 228,700

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Solution

The third proportional to 106,048 and 228,700 is: 493,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048 : 228,700 = 228,700 : x
  2. Step 2: Convert to fraction form
    106,048/228,700 = 228,700/x
  3. Step 3: Cross multiply
    106,048x = 228,700 × 228,700
  4. Step 4: Simplify right side
    106,048x = 52,303,690,000
  5. Step 5: Solve for x
    x = 52,303,690,000/106,048
  6. Step 6: Final answer
    x = 493,207.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.