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Finding the Third Proportional to 234,036 and 353,121.75

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Solution

The third proportional to 234,036 and 353,121.75 is: 532,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,036 : 353,121.75 = 353,121.75 : x
  2. Step 2: Convert to fraction form
    234,036/353,121.75 = 353,121.75/x
  3. Step 3: Cross multiply
    234,036x = 353,121.75 × 353,121.75
  4. Step 4: Simplify right side
    234,036x = 124,694,970,323.06
  5. Step 5: Solve for x
    x = 124,694,970,323.06/234,036
  6. Step 6: Final answer
    x = 532,802.52

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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.