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Finding the Third Proportional to 177,848.75 and 271,290

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Solution

The third proportional to 177,848.75 and 271,290 is: 413,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,848.75 : 271,290 = 271,290 : x
  2. Step 2: Convert to fraction form
    177,848.75/271,290 = 271,290/x
  3. Step 3: Cross multiply
    177,848.75x = 271,290 × 271,290
  4. Step 4: Simplify right side
    177,848.75x = 73,598,264,100
  5. Step 5: Solve for x
    x = 73,598,264,100/177,848.75
  6. Step 6: Final answer
    x = 413,825.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.