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Finding the Third Proportional to 258,202.13 and 352,009.13

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Solution

The third proportional to 258,202.13 and 352,009.13 is: 479,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,202.13 : 352,009.13 = 352,009.13 : x
  2. Step 2: Convert to fraction form
    258,202.13/352,009.13 = 352,009.13/x
  3. Step 3: Cross multiply
    258,202.13x = 352,009.13 × 352,009.13
  4. Step 4: Simplify right side
    258,202.13x = 123,910,424,083.27
  5. Step 5: Solve for x
    x = 123,910,424,083.27/258,202.13
  6. Step 6: Final answer
    x = 479,897.00

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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.