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Finding the Third Proportional to 133,032 and 210,615

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Solution

The third proportional to 133,032 and 210,615 is: 333,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032 : 210,615 = 210,615 : x
  2. Step 2: Convert to fraction form
    133,032/210,615 = 210,615/x
  3. Step 3: Cross multiply
    133,032x = 210,615 × 210,615
  4. Step 4: Simplify right side
    133,032x = 44,358,678,225
  5. Step 5: Solve for x
    x = 44,358,678,225/133,032
  6. Step 6: Final answer
    x = 333,443.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.