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Finding the Third Proportional to 132,019.75 and 311,344.25

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Solution

The third proportional to 132,019.75 and 311,344.25 is: 734,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,019.75 : 311,344.25 = 311,344.25 : x
  2. Step 2: Convert to fraction form
    132,019.75/311,344.25 = 311,344.25/x
  3. Step 3: Cross multiply
    132,019.75x = 311,344.25 × 311,344.25
  4. Step 4: Simplify right side
    132,019.75x = 96,935,242,008.06
  5. Step 5: Solve for x
    x = 96,935,242,008.06/132,019.75
  6. Step 6: Final answer
    x = 734,248.03

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Why These Related Problems?

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