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Finding the Third Proportional to 129,816 and 279,315

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Solution

The third proportional to 129,816 and 279,315 is: 600,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,816 : 279,315 = 279,315 : x
  2. Step 2: Convert to fraction form
    129,816/279,315 = 279,315/x
  3. Step 3: Cross multiply
    129,816x = 279,315 × 279,315
  4. Step 4: Simplify right side
    129,816x = 78,016,869,225
  5. Step 5: Solve for x
    x = 78,016,869,225/129,816
  6. Step 6: Final answer
    x = 600,980.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.