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Finding the Third Proportional to 161,466 and 329,502

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Solution

The third proportional to 161,466 and 329,502 is: 672,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,466 : 329,502 = 329,502 : x
  2. Step 2: Convert to fraction form
    161,466/329,502 = 329,502/x
  3. Step 3: Cross multiply
    161,466x = 329,502 × 329,502
  4. Step 4: Simplify right side
    161,466x = 108,571,568,004
  5. Step 5: Solve for x
    x = 108,571,568,004/161,466
  6. Step 6: Final answer
    x = 672,411.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.