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Finding the Third Proportional to 106,312 and 227,888

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Solution

The third proportional to 106,312 and 227,888 is: 488,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312 : 227,888 = 227,888 : x
  2. Step 2: Convert to fraction form
    106,312/227,888 = 227,888/x
  3. Step 3: Cross multiply
    106,312x = 227,888 × 227,888
  4. Step 4: Simplify right side
    106,312x = 51,932,940,544
  5. Step 5: Solve for x
    x = 51,932,940,544/106,312
  6. Step 6: Final answer
    x = 488,495.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.