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Finding the Third Proportional to 176,942 and 268,221

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Solution

The third proportional to 176,942 and 268,221 is: 406,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,942 : 268,221 = 268,221 : x
  2. Step 2: Convert to fraction form
    176,942/268,221 = 268,221/x
  3. Step 3: Cross multiply
    176,942x = 268,221 × 268,221
  4. Step 4: Simplify right side
    176,942x = 71,942,504,841
  5. Step 5: Solve for x
    x = 71,942,504,841/176,942
  6. Step 6: Final answer
    x = 406,588.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.