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Finding the Third Proportional to 127,000.50 and 271,497

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Solution

The third proportional to 127,000.50 and 271,497 is: 580,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,000.50 : 271,497 = 271,497 : x
  2. Step 2: Convert to fraction form
    127,000.50/271,497 = 271,497/x
  3. Step 3: Cross multiply
    127,000.50x = 271,497 × 271,497
  4. Step 4: Simplify right side
    127,000.50x = 73,710,621,009
  5. Step 5: Solve for x
    x = 73,710,621,009/127,000.50
  6. Step 6: Final answer
    x = 580,396.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.