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Finding the Third Proportional to 203,178 and 479,662.50

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Solution

The third proportional to 203,178 and 479,662.50 is: 1,132,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,178 : 479,662.50 = 479,662.50 : x
  2. Step 2: Convert to fraction form
    203,178/479,662.50 = 479,662.50/x
  3. Step 3: Cross multiply
    203,178x = 479,662.50 × 479,662.50
  4. Step 4: Simplify right side
    203,178x = 230,076,113,906.25
  5. Step 5: Solve for x
    x = 230,076,113,906.25/203,178
  6. Step 6: Final answer
    x = 1,132,386.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.