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Finding the Third Proportional to 234,051.75 and 353,144.25

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Solution

The third proportional to 234,051.75 and 353,144.25 is: 532,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,051.75 : 353,144.25 = 353,144.25 : x
  2. Step 2: Convert to fraction form
    234,051.75/353,144.25 = 353,144.25/x
  3. Step 3: Cross multiply
    234,051.75x = 353,144.25 × 353,144.25
  4. Step 4: Simplify right side
    234,051.75x = 124,710,861,308.06
  5. Step 5: Solve for x
    x = 124,710,861,308.06/234,051.75
  6. Step 6: Final answer
    x = 532,834.56

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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.