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Finding the Third Proportional to 132,013 and 311,537.50

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Solution

The third proportional to 132,013 and 311,537.50 is: 735,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,013 : 311,537.50 = 311,537.50 : x
  2. Step 2: Convert to fraction form
    132,013/311,537.50 = 311,537.50/x
  3. Step 3: Cross multiply
    132,013x = 311,537.50 × 311,537.50
  4. Step 4: Simplify right side
    132,013x = 97,055,613,906.25
  5. Step 5: Solve for x
    x = 97,055,613,906.25/132,013
  6. Step 6: Final answer
    x = 735,197.40

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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.