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Finding the Third Proportional to 187,974 and 295,326

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Solution

The third proportional to 187,974 and 295,326 is: 463,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,974 : 295,326 = 295,326 : x
  2. Step 2: Convert to fraction form
    187,974/295,326 = 295,326/x
  3. Step 3: Cross multiply
    187,974x = 295,326 × 295,326
  4. Step 4: Simplify right side
    187,974x = 87,217,446,276
  5. Step 5: Solve for x
    x = 87,217,446,276/187,974
  6. Step 6: Final answer
    x = 463,986.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.