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Finding the Third Proportional to 116,799 and 180,453

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Solution

The third proportional to 116,799 and 180,453 is: 278,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,799 : 180,453 = 180,453 : x
  2. Step 2: Convert to fraction form
    116,799/180,453 = 180,453/x
  3. Step 3: Cross multiply
    116,799x = 180,453 × 180,453
  4. Step 4: Simplify right side
    116,799x = 32,563,285,209
  5. Step 5: Solve for x
    x = 32,563,285,209/116,799
  6. Step 6: Final answer
    x = 278,797.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.