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Finding the Third Proportional to 177,930.88 and 388,693.75

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Solution

The third proportional to 177,930.88 and 388,693.75 is: 849,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,930.88 : 388,693.75 = 388,693.75 : x
  2. Step 2: Convert to fraction form
    177,930.88/388,693.75 = 388,693.75/x
  3. Step 3: Cross multiply
    177,930.88x = 388,693.75 × 388,693.75
  4. Step 4: Simplify right side
    177,930.88x = 151,082,831,289.06
  5. Step 5: Solve for x
    x = 151,082,831,289.06/177,930.88
  6. Step 6: Final answer
    x = 849,109.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.