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Finding the Third Proportional to 177,962 and 239,703

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Solution

The third proportional to 177,962 and 239,703 is: 322,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,962 : 239,703 = 239,703 : x
  2. Step 2: Convert to fraction form
    177,962/239,703 = 239,703/x
  3. Step 3: Cross multiply
    177,962x = 239,703 × 239,703
  4. Step 4: Simplify right side
    177,962x = 57,457,528,209
  5. Step 5: Solve for x
    x = 57,457,528,209/177,962
  6. Step 6: Final answer
    x = 322,864.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.