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Finding the Third Proportional to 108,952 and 227,888

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Solution

The third proportional to 108,952 and 227,888 is: 476,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,952 : 227,888 = 227,888 : x
  2. Step 2: Convert to fraction form
    108,952/227,888 = 227,888/x
  3. Step 3: Cross multiply
    108,952x = 227,888 × 227,888
  4. Step 4: Simplify right side
    108,952x = 51,932,940,544
  5. Step 5: Solve for x
    x = 51,932,940,544/108,952
  6. Step 6: Final answer
    x = 476,658.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.