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Finding the Third Proportional to 177,470 and 268,054

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Solution

The third proportional to 177,470 and 268,054 is: 404,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,470 : 268,054 = 268,054 : x
  2. Step 2: Convert to fraction form
    177,470/268,054 = 268,054/x
  3. Step 3: Cross multiply
    177,470x = 268,054 × 268,054
  4. Step 4: Simplify right side
    177,470x = 71,852,946,916
  5. Step 5: Solve for x
    x = 71,852,946,916/177,470
  6. Step 6: Final answer
    x = 404,873.76

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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.