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Finding the Third Proportional to 141,289 and 211,935

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Solution

The third proportional to 141,289 and 211,935 is: 317,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,289 : 211,935 = 211,935 : x
  2. Step 2: Convert to fraction form
    141,289/211,935 = 211,935/x
  3. Step 3: Cross multiply
    141,289x = 211,935 × 211,935
  4. Step 4: Simplify right side
    141,289x = 44,916,444,225
  5. Step 5: Solve for x
    x = 44,916,444,225/141,289
  6. Step 6: Final answer
    x = 317,904.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.