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Finding the Third Proportional to 114,894 and 165,483

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Solution

The third proportional to 114,894 and 165,483 is: 238,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,894 : 165,483 = 165,483 : x
  2. Step 2: Convert to fraction form
    114,894/165,483 = 165,483/x
  3. Step 3: Cross multiply
    114,894x = 165,483 × 165,483
  4. Step 4: Simplify right side
    114,894x = 27,384,623,289
  5. Step 5: Solve for x
    x = 27,384,623,289/114,894
  6. Step 6: Final answer
    x = 238,346.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.