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Finding the Third Proportional to 235,082 and 347,682

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Solution

The third proportional to 235,082 and 347,682 is: 514,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,082 : 347,682 = 347,682 : x
  2. Step 2: Convert to fraction form
    235,082/347,682 = 347,682/x
  3. Step 3: Cross multiply
    235,082x = 347,682 × 347,682
  4. Step 4: Simplify right side
    235,082x = 120,882,773,124
  5. Step 5: Solve for x
    x = 120,882,773,124/235,082
  6. Step 6: Final answer
    x = 514,215.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.