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Finding the Third Proportional to 234,132.75 and 352,802.25

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Solution

The third proportional to 234,132.75 and 352,802.25 is: 531,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,132.75 : 352,802.25 = 352,802.25 : x
  2. Step 2: Convert to fraction form
    234,132.75/352,802.25 = 352,802.25/x
  3. Step 3: Cross multiply
    234,132.75x = 352,802.25 × 352,802.25
  4. Step 4: Simplify right side
    234,132.75x = 124,469,427,605.06
  5. Step 5: Solve for x
    x = 124,469,427,605.06/234,132.75
  6. Step 6: Final answer
    x = 531,619.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.