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Finding the Third Proportional to 176,968.25 and 385,040.50

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Solution

The third proportional to 176,968.25 and 385,040.50 is: 837,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,968.25 : 385,040.50 = 385,040.50 : x
  2. Step 2: Convert to fraction form
    176,968.25/385,040.50 = 385,040.50/x
  3. Step 3: Cross multiply
    176,968.25x = 385,040.50 × 385,040.50
  4. Step 4: Simplify right side
    176,968.25x = 148,256,186,640.25
  5. Step 5: Solve for x
    x = 148,256,186,640.25/176,968.25
  6. Step 6: Final answer
    x = 837,755.85

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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.