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Finding the Third Proportional to 160,225 and 341,895

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Solution

The third proportional to 160,225 and 341,895 is: 729,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,225 : 341,895 = 341,895 : x
  2. Step 2: Convert to fraction form
    160,225/341,895 = 341,895/x
  3. Step 3: Cross multiply
    160,225x = 341,895 × 341,895
  4. Step 4: Simplify right side
    160,225x = 116,892,191,025
  5. Step 5: Solve for x
    x = 116,892,191,025/160,225
  6. Step 6: Final answer
    x = 729,550.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.