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Finding the Third Proportional to 171,624 and 359,664

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Solution

The third proportional to 171,624 and 359,664 is: 753,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,624 : 359,664 = 359,664 : x
  2. Step 2: Convert to fraction form
    171,624/359,664 = 359,664/x
  3. Step 3: Cross multiply
    171,624x = 359,664 × 359,664
  4. Step 4: Simplify right side
    171,624x = 129,358,192,896
  5. Step 5: Solve for x
    x = 129,358,192,896/171,624
  6. Step 6: Final answer
    x = 753,730.21

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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.