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Finding the Third Proportional to 148,659.38 and 211,917.38

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Solution

The third proportional to 148,659.38 and 211,917.38 is: 302,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,659.38 : 211,917.38 = 211,917.38 : x
  2. Step 2: Convert to fraction form
    148,659.38/211,917.38 = 211,917.38/x
  3. Step 3: Cross multiply
    148,659.38x = 211,917.38 × 211,917.38
  4. Step 4: Simplify right side
    148,659.38x = 44,908,973,826.89
  5. Step 5: Solve for x
    x = 44,908,973,826.89/148,659.38
  6. Step 6: Final answer
    x = 302,093.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.