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Finding the Third Proportional to 134,326 and 205,703

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Solution

The third proportional to 134,326 and 205,703 is: 315,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,326 : 205,703 = 205,703 : x
  2. Step 2: Convert to fraction form
    134,326/205,703 = 205,703/x
  3. Step 3: Cross multiply
    134,326x = 205,703 × 205,703
  4. Step 4: Simplify right side
    134,326x = 42,313,724,209
  5. Step 5: Solve for x
    x = 42,313,724,209/134,326
  6. Step 6: Final answer
    x = 315,007.70

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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.