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Finding the Third Proportional to 187,976 and 295,329

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Solution

The third proportional to 187,976 and 295,329 is: 463,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,976 : 295,329 = 295,329 : x
  2. Step 2: Convert to fraction form
    187,976/295,329 = 295,329/x
  3. Step 3: Cross multiply
    187,976x = 295,329 × 295,329
  4. Step 4: Simplify right side
    187,976x = 87,219,218,241
  5. Step 5: Solve for x
    x = 87,219,218,241/187,976
  6. Step 6: Final answer
    x = 463,991.24

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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.