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Finding the Third Proportional to 205,152 and 440,976

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Solution

The third proportional to 205,152 and 440,976 is: 947,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152 : 440,976 = 440,976 : x
  2. Step 2: Convert to fraction form
    205,152/440,976 = 440,976/x
  3. Step 3: Cross multiply
    205,152x = 440,976 × 440,976
  4. Step 4: Simplify right side
    205,152x = 194,459,832,576
  5. Step 5: Solve for x
    x = 194,459,832,576/205,152
  6. Step 6: Final answer
    x = 947,881.73

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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.