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Finding the Third Proportional to 106,900.50 and 232,284

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Solution

The third proportional to 106,900.50 and 232,284 is: 504,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,900.50 : 232,284 = 232,284 : x
  2. Step 2: Convert to fraction form
    106,900.50/232,284 = 232,284/x
  3. Step 3: Cross multiply
    106,900.50x = 232,284 × 232,284
  4. Step 4: Simplify right side
    106,900.50x = 53,955,856,656
  5. Step 5: Solve for x
    x = 53,955,856,656/106,900.50
  6. Step 6: Final answer
    x = 504,729.69

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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.