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Finding the Third Proportional to 103,886 and 224,381

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Solution

The third proportional to 103,886 and 224,381 is: 484,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,886 : 224,381 = 224,381 : x
  2. Step 2: Convert to fraction form
    103,886/224,381 = 224,381/x
  3. Step 3: Cross multiply
    103,886x = 224,381 × 224,381
  4. Step 4: Simplify right side
    103,886x = 50,346,833,161
  5. Step 5: Solve for x
    x = 50,346,833,161/103,886
  6. Step 6: Final answer
    x = 484,635.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.