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Finding the Third Proportional to 205,389 and 441,132

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Solution

The third proportional to 205,389 and 441,132 is: 947,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,389 : 441,132 = 441,132 : x
  2. Step 2: Convert to fraction form
    205,389/441,132 = 441,132/x
  3. Step 3: Cross multiply
    205,389x = 441,132 × 441,132
  4. Step 4: Simplify right side
    205,389x = 194,597,441,424
  5. Step 5: Solve for x
    x = 194,597,441,424/205,389
  6. Step 6: Final answer
    x = 947,457.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.