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Finding the Third Proportional to 230,759.82 and 349,327.69

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Solution

The third proportional to 230,759.82 and 349,327.69 is: 528,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,759.82 : 349,327.69 = 349,327.69 : x
  2. Step 2: Convert to fraction form
    230,759.82/349,327.69 = 349,327.69/x
  3. Step 3: Cross multiply
    230,759.82x = 349,327.69 × 349,327.69
  4. Step 4: Simplify right side
    230,759.82x = 122,029,833,254.10
  5. Step 5: Solve for x
    x = 122,029,833,254.10/230,759.82
  6. Step 6: Final answer
    x = 528,817.50

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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.