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Finding the Third Proportional to 127,723.50 and 277,600.50

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Solution

The third proportional to 127,723.50 and 277,600.50 is: 603,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,723.50 : 277,600.50 = 277,600.50 : x
  2. Step 2: Convert to fraction form
    127,723.50/277,600.50 = 277,600.50/x
  3. Step 3: Cross multiply
    127,723.50x = 277,600.50 × 277,600.50
  4. Step 4: Simplify right side
    127,723.50x = 77,062,037,600.25
  5. Step 5: Solve for x
    x = 77,062,037,600.25/127,723.50
  6. Step 6: Final answer
    x = 603,350.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.