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Finding the Third Proportional to 178,460 and 269,202

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Solution

The third proportional to 178,460 and 269,202 is: 406,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,460 : 269,202 = 269,202 : x
  2. Step 2: Convert to fraction form
    178,460/269,202 = 269,202/x
  3. Step 3: Cross multiply
    178,460x = 269,202 × 269,202
  4. Step 4: Simplify right side
    178,460x = 72,469,716,804
  5. Step 5: Solve for x
    x = 72,469,716,804/178,460
  6. Step 6: Final answer
    x = 406,083.81

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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.