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Finding the Third Proportional to 208,824 and 407,136

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Solution

The third proportional to 208,824 and 407,136 is: 793,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,824 : 407,136 = 407,136 : x
  2. Step 2: Convert to fraction form
    208,824/407,136 = 407,136/x
  3. Step 3: Cross multiply
    208,824x = 407,136 × 407,136
  4. Step 4: Simplify right side
    208,824x = 165,759,722,496
  5. Step 5: Solve for x
    x = 165,759,722,496/208,824
  6. Step 6: Final answer
    x = 793,777.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.