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Finding the Third Proportional to 177,898 and 277,053

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Solution

The third proportional to 177,898 and 277,053 is: 431,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,898 : 277,053 = 277,053 : x
  2. Step 2: Convert to fraction form
    177,898/277,053 = 277,053/x
  3. Step 3: Cross multiply
    177,898x = 277,053 × 277,053
  4. Step 4: Simplify right side
    177,898x = 76,758,364,809
  5. Step 5: Solve for x
    x = 76,758,364,809/177,898
  6. Step 6: Final answer
    x = 431,474.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.