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Finding the Third Proportional to 132,076.50 and 200,640

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Solution

The third proportional to 132,076.50 and 200,640 is: 304,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,076.50 : 200,640 = 200,640 : x
  2. Step 2: Convert to fraction form
    132,076.50/200,640 = 200,640/x
  3. Step 3: Cross multiply
    132,076.50x = 200,640 × 200,640
  4. Step 4: Simplify right side
    132,076.50x = 40,256,409,600
  5. Step 5: Solve for x
    x = 40,256,409,600/132,076.50
  6. Step 6: Final answer
    x = 304,796.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.