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Finding the Third Proportional to 196,591 and 296,511

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Solution

The third proportional to 196,591 and 296,511 is: 447,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,591 : 296,511 = 296,511 : x
  2. Step 2: Convert to fraction form
    196,591/296,511 = 296,511/x
  3. Step 3: Cross multiply
    196,591x = 296,511 × 296,511
  4. Step 4: Simplify right side
    196,591x = 87,918,773,121
  5. Step 5: Solve for x
    x = 87,918,773,121/196,591
  6. Step 6: Final answer
    x = 447,216.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.