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Finding the Third Proportional to 106,946 and 232,367

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Solution

The third proportional to 106,946 and 232,367 is: 504,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,946 : 232,367 = 232,367 : x
  2. Step 2: Convert to fraction form
    106,946/232,367 = 232,367/x
  3. Step 3: Cross multiply
    106,946x = 232,367 × 232,367
  4. Step 4: Simplify right side
    106,946x = 53,994,422,689
  5. Step 5: Solve for x
    x = 53,994,422,689/106,946
  6. Step 6: Final answer
    x = 504,875.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.