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Finding the Third Proportional to 160,895 and 241,032

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Solution

The third proportional to 160,895 and 241,032 is: 361,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,895 : 241,032 = 241,032 : x
  2. Step 2: Convert to fraction form
    160,895/241,032 = 241,032/x
  3. Step 3: Cross multiply
    160,895x = 241,032 × 241,032
  4. Step 4: Simplify right side
    160,895x = 58,096,425,024
  5. Step 5: Solve for x
    x = 58,096,425,024/160,895
  6. Step 6: Final answer
    x = 361,082.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.