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Finding the Third Proportional to 195,402 and 425,916

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Solution

The third proportional to 195,402 and 425,916 is: 928,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,402 : 425,916 = 425,916 : x
  2. Step 2: Convert to fraction form
    195,402/425,916 = 425,916/x
  3. Step 3: Cross multiply
    195,402x = 425,916 × 425,916
  4. Step 4: Simplify right side
    195,402x = 181,404,439,056
  5. Step 5: Solve for x
    x = 181,404,439,056/195,402
  6. Step 6: Final answer
    x = 928,365.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.