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Finding the Third Proportional to 170,529 and 358,734

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Solution

The third proportional to 170,529 and 358,734 is: 754,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,529 : 358,734 = 358,734 : x
  2. Step 2: Convert to fraction form
    170,529/358,734 = 358,734/x
  3. Step 3: Cross multiply
    170,529x = 358,734 × 358,734
  4. Step 4: Simplify right side
    170,529x = 128,690,082,756
  5. Step 5: Solve for x
    x = 128,690,082,756/170,529
  6. Step 6: Final answer
    x = 754,652.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.