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Finding the Third Proportional to 127,263.75 and 251,313.75

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Solution

The third proportional to 127,263.75 and 251,313.75 is: 496,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,263.75 : 251,313.75 = 251,313.75 : x
  2. Step 2: Convert to fraction form
    127,263.75/251,313.75 = 251,313.75/x
  3. Step 3: Cross multiply
    127,263.75x = 251,313.75 × 251,313.75
  4. Step 4: Simplify right side
    127,263.75x = 63,158,600,939.06
  5. Step 5: Solve for x
    x = 63,158,600,939.06/127,263.75
  6. Step 6: Final answer
    x = 496,281.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.