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Finding the Third Proportional to 83,271 and 179,835

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Solution

The third proportional to 83,271 and 179,835 is: 388,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271 : 179,835 = 179,835 : x
  2. Step 2: Convert to fraction form
    83,271/179,835 = 179,835/x
  3. Step 3: Cross multiply
    83,271x = 179,835 × 179,835
  4. Step 4: Simplify right side
    83,271x = 32,340,627,225
  5. Step 5: Solve for x
    x = 32,340,627,225/83,271
  6. Step 6: Final answer
    x = 388,378.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.