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Finding the Third Proportional to 143,664.75 and 227,378.25

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Solution

The third proportional to 143,664.75 and 227,378.25 is: 359,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,664.75 : 227,378.25 = 227,378.25 : x
  2. Step 2: Convert to fraction form
    143,664.75/227,378.25 = 227,378.25/x
  3. Step 3: Cross multiply
    143,664.75x = 227,378.25 × 227,378.25
  4. Step 4: Simplify right side
    143,664.75x = 51,700,868,573.06
  5. Step 5: Solve for x
    x = 51,700,868,573.06/143,664.75
  6. Step 6: Final answer
    x = 359,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.