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Finding the Third Proportional to 179,488 and 251,664

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Solution

The third proportional to 179,488 and 251,664 is: 352,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,488 : 251,664 = 251,664 : x
  2. Step 2: Convert to fraction form
    179,488/251,664 = 251,664/x
  3. Step 3: Cross multiply
    179,488x = 251,664 × 251,664
  4. Step 4: Simplify right side
    179,488x = 63,334,768,896
  5. Step 5: Solve for x
    x = 63,334,768,896/179,488
  6. Step 6: Final answer
    x = 352,863.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.