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Finding the Third Proportional to 127,989.50 and 279,306

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Solution

The third proportional to 127,989.50 and 279,306 is: 609,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,989.50 : 279,306 = 279,306 : x
  2. Step 2: Convert to fraction form
    127,989.50/279,306 = 279,306/x
  3. Step 3: Cross multiply
    127,989.50x = 279,306 × 279,306
  4. Step 4: Simplify right side
    127,989.50x = 78,011,841,636
  5. Step 5: Solve for x
    x = 78,011,841,636/127,989.50
  6. Step 6: Final answer
    x = 609,517.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.