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Finding the Third Proportional to 105,948 and 220,518

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Solution

The third proportional to 105,948 and 220,518 is: 458,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,948 : 220,518 = 220,518 : x
  2. Step 2: Convert to fraction form
    105,948/220,518 = 220,518/x
  3. Step 3: Cross multiply
    105,948x = 220,518 × 220,518
  4. Step 4: Simplify right side
    105,948x = 48,628,188,324
  5. Step 5: Solve for x
    x = 48,628,188,324/105,948
  6. Step 6: Final answer
    x = 458,981.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.