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Finding the Third Proportional to 203,136 and 440,169

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Solution

The third proportional to 203,136 and 440,169 is: 953,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,136 : 440,169 = 440,169 : x
  2. Step 2: Convert to fraction form
    203,136/440,169 = 440,169/x
  3. Step 3: Cross multiply
    203,136x = 440,169 × 440,169
  4. Step 4: Simplify right side
    203,136x = 193,748,748,561
  5. Step 5: Solve for x
    x = 193,748,748,561/203,136
  6. Step 6: Final answer
    x = 953,788.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.