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Finding the Third Proportional to 258,199.31 and 352,005.75

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Solution

The third proportional to 258,199.31 and 352,005.75 is: 479,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,199.31 : 352,005.75 = 352,005.75 : x
  2. Step 2: Convert to fraction form
    258,199.31/352,005.75 = 352,005.75/x
  3. Step 3: Cross multiply
    258,199.31x = 352,005.75 × 352,005.75
  4. Step 4: Simplify right side
    258,199.31x = 123,908,048,033.06
  5. Step 5: Solve for x
    x = 123,908,048,033.06/258,199.31
  6. Step 6: Final answer
    x = 479,893.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.