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Finding the Third Proportional to 177,349.50 and 268,122

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Solution

The third proportional to 177,349.50 and 268,122 is: 405,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,349.50 : 268,122 = 268,122 : x
  2. Step 2: Convert to fraction form
    177,349.50/268,122 = 268,122/x
  3. Step 3: Cross multiply
    177,349.50x = 268,122 × 268,122
  4. Step 4: Simplify right side
    177,349.50x = 71,889,406,884
  5. Step 5: Solve for x
    x = 71,889,406,884/177,349.50
  6. Step 6: Final answer
    x = 405,354.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.