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Finding the Third Proportional to 204,211.13 and 311,852.53

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Solution

The third proportional to 204,211.13 and 311,852.53 is: 476,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 311,852.53 = 311,852.53 : x
  2. Step 2: Convert to fraction form
    204,211.13/311,852.53 = 311,852.53/x
  3. Step 3: Cross multiply
    204,211.13x = 311,852.53 × 311,852.53
  4. Step 4: Simplify right side
    204,211.13x = 97,252,001,247.03
  5. Step 5: Solve for x
    x = 97,252,001,247.03/204,211.13
  6. Step 6: Final answer
    x = 476,232.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.