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Finding the Third Proportional to 159,971 and 241,657

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Solution

The third proportional to 159,971 and 241,657 is: 365,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,971 : 241,657 = 241,657 : x
  2. Step 2: Convert to fraction form
    159,971/241,657 = 241,657/x
  3. Step 3: Cross multiply
    159,971x = 241,657 × 241,657
  4. Step 4: Simplify right side
    159,971x = 58,398,105,649
  5. Step 5: Solve for x
    x = 58,398,105,649/159,971
  6. Step 6: Final answer
    x = 365,054.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.