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Finding the Third Proportional to 176,601.75 and 384,732

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Solution

The third proportional to 176,601.75 and 384,732 is: 838,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,601.75 : 384,732 = 384,732 : x
  2. Step 2: Convert to fraction form
    176,601.75/384,732 = 384,732/x
  3. Step 3: Cross multiply
    176,601.75x = 384,732 × 384,732
  4. Step 4: Simplify right side
    176,601.75x = 148,018,711,824
  5. Step 5: Solve for x
    x = 148,018,711,824/176,601.75
  6. Step 6: Final answer
    x = 838,149.75

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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.