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Finding the Third Proportional to 127,180.13 and 279,328.50

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Solution

The third proportional to 127,180.13 and 279,328.50 is: 613,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180.13 : 279,328.50 = 279,328.50 : x
  2. Step 2: Convert to fraction form
    127,180.13/279,328.50 = 279,328.50/x
  3. Step 3: Cross multiply
    127,180.13x = 279,328.50 × 279,328.50
  4. Step 4: Simplify right side
    127,180.13x = 78,024,410,912.25
  5. Step 5: Solve for x
    x = 78,024,410,912.25/127,180.13
  6. Step 6: Final answer
    x = 613,495.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.