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Finding the Third Proportional to 177,053 and 274,148

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Solution

The third proportional to 177,053 and 274,148 is: 424,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,053 : 274,148 = 274,148 : x
  2. Step 2: Convert to fraction form
    177,053/274,148 = 274,148/x
  3. Step 3: Cross multiply
    177,053x = 274,148 × 274,148
  4. Step 4: Simplify right side
    177,053x = 75,157,125,904
  5. Step 5: Solve for x
    x = 75,157,125,904/177,053
  6. Step 6: Final answer
    x = 424,489.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.