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Finding the Third Proportional to 234,074.50 and 353,571.50

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Solution

The third proportional to 234,074.50 and 353,571.50 is: 534,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,074.50 : 353,571.50 = 353,571.50 : x
  2. Step 2: Convert to fraction form
    234,074.50/353,571.50 = 353,571.50/x
  3. Step 3: Cross multiply
    234,074.50x = 353,571.50 × 353,571.50
  4. Step 4: Simplify right side
    234,074.50x = 125,012,805,612.25
  5. Step 5: Solve for x
    x = 125,012,805,612.25/234,074.50
  6. Step 6: Final answer
    x = 534,072.72

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