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Finding the Third Proportional to 179,954 and 279,363

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Solution

The third proportional to 179,954 and 279,363 is: 433,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,954 : 279,363 = 279,363 : x
  2. Step 2: Convert to fraction form
    179,954/279,363 = 279,363/x
  3. Step 3: Cross multiply
    179,954x = 279,363 × 279,363
  4. Step 4: Simplify right side
    179,954x = 78,043,685,769
  5. Step 5: Solve for x
    x = 78,043,685,769/179,954
  6. Step 6: Final answer
    x = 433,686.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.