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Finding the Third Proportional to 214,082 and 281,572

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Solution

The third proportional to 214,082 and 281,572 is: 370,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,082 : 281,572 = 281,572 : x
  2. Step 2: Convert to fraction form
    214,082/281,572 = 281,572/x
  3. Step 3: Cross multiply
    214,082x = 281,572 × 281,572
  4. Step 4: Simplify right side
    214,082x = 79,282,791,184
  5. Step 5: Solve for x
    x = 79,282,791,184/214,082
  6. Step 6: Final answer
    x = 370,338.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.