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Finding the Third Proportional to 171,876.50 and 370,082

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Solution

The third proportional to 171,876.50 and 370,082 is: 796,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,876.50 : 370,082 = 370,082 : x
  2. Step 2: Convert to fraction form
    171,876.50/370,082 = 370,082/x
  3. Step 3: Cross multiply
    171,876.50x = 370,082 × 370,082
  4. Step 4: Simplify right side
    171,876.50x = 136,960,686,724
  5. Step 5: Solve for x
    x = 136,960,686,724/171,876.50
  6. Step 6: Final answer
    x = 796,855.22

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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.