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Finding the Third Proportional to 114,324 and 175,372

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Solution

The third proportional to 114,324 and 175,372 is: 269,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,324 : 175,372 = 175,372 : x
  2. Step 2: Convert to fraction form
    114,324/175,372 = 175,372/x
  3. Step 3: Cross multiply
    114,324x = 175,372 × 175,372
  4. Step 4: Simplify right side
    114,324x = 30,755,338,384
  5. Step 5: Solve for x
    x = 30,755,338,384/114,324
  6. Step 6: Final answer
    x = 269,019.09

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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.