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Finding the Third Proportional to 128,746.50 and 196,950

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Solution

The third proportional to 128,746.50 and 196,950 is: 301,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,746.50 : 196,950 = 196,950 : x
  2. Step 2: Convert to fraction form
    128,746.50/196,950 = 196,950/x
  3. Step 3: Cross multiply
    128,746.50x = 196,950 × 196,950
  4. Step 4: Simplify right side
    128,746.50x = 38,789,302,500
  5. Step 5: Solve for x
    x = 38,789,302,500/128,746.50
  6. Step 6: Final answer
    x = 301,284.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.