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Finding the Third Proportional to 103,919 and 227,281

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Solution

The third proportional to 103,919 and 227,281 is: 497,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,919 : 227,281 = 227,281 : x
  2. Step 2: Convert to fraction form
    103,919/227,281 = 227,281/x
  3. Step 3: Cross multiply
    103,919x = 227,281 × 227,281
  4. Step 4: Simplify right side
    103,919x = 51,656,652,961
  5. Step 5: Solve for x
    x = 51,656,652,961/103,919
  6. Step 6: Final answer
    x = 497,085.74

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Why These Related Problems?

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