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Finding the Third Proportional to 164,519 and 341,485

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Solution

The third proportional to 164,519 and 341,485 is: 708,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,519 : 341,485 = 341,485 : x
  2. Step 2: Convert to fraction form
    164,519/341,485 = 341,485/x
  3. Step 3: Cross multiply
    164,519x = 341,485 × 341,485
  4. Step 4: Simplify right side
    164,519x = 116,612,005,225
  5. Step 5: Solve for x
    x = 116,612,005,225/164,519
  6. Step 6: Final answer
    x = 708,805.70

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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.