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Finding the Third Proportional to 205,005 and 440,109

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Solution

The third proportional to 205,005 and 440,109 is: 944,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,005 : 440,109 = 440,109 : x
  2. Step 2: Convert to fraction form
    205,005/440,109 = 440,109/x
  3. Step 3: Cross multiply
    205,005x = 440,109 × 440,109
  4. Step 4: Simplify right side
    205,005x = 193,695,931,881
  5. Step 5: Solve for x
    x = 193,695,931,881/205,005
  6. Step 6: Final answer
    x = 944,835.16

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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.