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Finding the Third Proportional to 106,047 and 228,348

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Solution

The third proportional to 106,047 and 228,348 is: 491,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,047 : 228,348 = 228,348 : x
  2. Step 2: Convert to fraction form
    106,047/228,348 = 228,348/x
  3. Step 3: Cross multiply
    106,047x = 228,348 × 228,348
  4. Step 4: Simplify right side
    106,047x = 52,142,809,104
  5. Step 5: Solve for x
    x = 52,142,809,104/106,047
  6. Step 6: Final answer
    x = 491,695.28

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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.