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Finding the Third Proportional to 166,690 and 359,624

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Solution

The third proportional to 166,690 and 359,624 is: 775,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,690 : 359,624 = 359,624 : x
  2. Step 2: Convert to fraction form
    166,690/359,624 = 359,624/x
  3. Step 3: Cross multiply
    166,690x = 359,624 × 359,624
  4. Step 4: Simplify right side
    166,690x = 129,329,421,376
  5. Step 5: Solve for x
    x = 129,329,421,376/166,690
  6. Step 6: Final answer
    x = 775,867.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.