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Finding the Third Proportional to 103,904 and 227,248

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Solution

The third proportional to 103,904 and 227,248 is: 497,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,904 : 227,248 = 227,248 : x
  2. Step 2: Convert to fraction form
    103,904/227,248 = 227,248/x
  3. Step 3: Cross multiply
    103,904x = 227,248 × 227,248
  4. Step 4: Simplify right side
    103,904x = 51,641,653,504
  5. Step 5: Solve for x
    x = 51,641,653,504/103,904
  6. Step 6: Final answer
    x = 497,013.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.