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Finding the Third Proportional to 234,095.25 and 353,604.75

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Solution

The third proportional to 234,095.25 and 353,604.75 is: 534,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,095.25 : 353,604.75 = 353,604.75 : x
  2. Step 2: Convert to fraction form
    234,095.25/353,604.75 = 353,604.75/x
  3. Step 3: Cross multiply
    234,095.25x = 353,604.75 × 353,604.75
  4. Step 4: Simplify right side
    234,095.25x = 125,036,319,222.56
  5. Step 5: Solve for x
    x = 125,036,319,222.56/234,095.25
  6. Step 6: Final answer
    x = 534,125.83

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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.