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Finding the Third Proportional to 104,436 and 220,778

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Solution

The third proportional to 104,436 and 220,778 is: 466,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,436 : 220,778 = 220,778 : x
  2. Step 2: Convert to fraction form
    104,436/220,778 = 220,778/x
  3. Step 3: Cross multiply
    104,436x = 220,778 × 220,778
  4. Step 4: Simplify right side
    104,436x = 48,742,925,284
  5. Step 5: Solve for x
    x = 48,742,925,284/104,436
  6. Step 6: Final answer
    x = 466,725.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.