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Finding the Third Proportional to 201,112.88 and 296,976.38

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Solution

The third proportional to 201,112.88 and 296,976.38 is: 438,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.88 : 296,976.38 = 296,976.38 : x
  2. Step 2: Convert to fraction form
    201,112.88/296,976.38 = 296,976.38/x
  3. Step 3: Cross multiply
    201,112.88x = 296,976.38 × 296,976.38
  4. Step 4: Simplify right side
    201,112.88x = 88,194,967,308.14
  5. Step 5: Solve for x
    x = 88,194,967,308.14/201,112.88
  6. Step 6: Final answer
    x = 438,534.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.