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Finding the Third Proportional to 142,863.75 and 226,023.75

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Solution

The third proportional to 142,863.75 and 226,023.75 is: 357,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,863.75 : 226,023.75 = 226,023.75 : x
  2. Step 2: Convert to fraction form
    142,863.75/226,023.75 = 226,023.75/x
  3. Step 3: Cross multiply
    142,863.75x = 226,023.75 × 226,023.75
  4. Step 4: Simplify right side
    142,863.75x = 51,086,735,564.06
  5. Step 5: Solve for x
    x = 51,086,735,564.06/142,863.75
  6. Step 6: Final answer
    x = 357,590.61

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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.