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Finding the Third Proportional to 196,692 and 296,037

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Solution

The third proportional to 196,692 and 296,037 is: 445,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,692 : 296,037 = 296,037 : x
  2. Step 2: Convert to fraction form
    196,692/296,037 = 296,037/x
  3. Step 3: Cross multiply
    196,692x = 296,037 × 296,037
  4. Step 4: Simplify right side
    196,692x = 87,637,905,369
  5. Step 5: Solve for x
    x = 87,637,905,369/196,692
  6. Step 6: Final answer
    x = 445,559.07

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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.