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Finding the Third Proportional to 106,047 and 228,345

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Solution

The third proportional to 106,047 and 228,345 is: 491,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,047 : 228,345 = 228,345 : x
  2. Step 2: Convert to fraction form
    106,047/228,345 = 228,345/x
  3. Step 3: Cross multiply
    106,047x = 228,345 × 228,345
  4. Step 4: Simplify right side
    106,047x = 52,141,439,025
  5. Step 5: Solve for x
    x = 52,141,439,025/106,047
  6. Step 6: Final answer
    x = 491,682.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.