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Finding the Third Proportional to 164,515 and 341,477

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Solution

The third proportional to 164,515 and 341,477 is: 708,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,515 : 341,477 = 341,477 : x
  2. Step 2: Convert to fraction form
    164,515/341,477 = 341,477/x
  3. Step 3: Cross multiply
    164,515x = 341,477 × 341,477
  4. Step 4: Simplify right side
    164,515x = 116,606,541,529
  5. Step 5: Solve for x
    x = 116,606,541,529/164,515
  6. Step 6: Final answer
    x = 708,789.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.