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Finding the Third Proportional to 177,338.50 and 239,259.75

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Solution

The third proportional to 177,338.50 and 239,259.75 is: 322,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,338.50 : 239,259.75 = 239,259.75 : x
  2. Step 2: Convert to fraction form
    177,338.50/239,259.75 = 239,259.75/x
  3. Step 3: Cross multiply
    177,338.50x = 239,259.75 × 239,259.75
  4. Step 4: Simplify right side
    177,338.50x = 57,245,227,970.06
  5. Step 5: Solve for x
    x = 57,245,227,970.06/177,338.50
  6. Step 6: Final answer
    x = 322,802.03

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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.