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Finding the Third Proportional to 161,488 and 329,524

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Solution

The third proportional to 161,488 and 329,524 is: 672,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,488 : 329,524 = 329,524 : x
  2. Step 2: Convert to fraction form
    161,488/329,524 = 329,524/x
  3. Step 3: Cross multiply
    161,488x = 329,524 × 329,524
  4. Step 4: Simplify right side
    161,488x = 108,586,066,576
  5. Step 5: Solve for x
    x = 108,586,066,576/161,488
  6. Step 6: Final answer
    x = 672,409.51

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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.