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Finding the Third Proportional to 196,614 and 296,532

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Solution

The third proportional to 196,614 and 296,532 is: 447,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,614 : 296,532 = 296,532 : x
  2. Step 2: Convert to fraction form
    196,614/296,532 = 296,532/x
  3. Step 3: Cross multiply
    196,614x = 296,532 × 296,532
  4. Step 4: Simplify right side
    196,614x = 87,931,227,024
  5. Step 5: Solve for x
    x = 87,931,227,024/196,614
  6. Step 6: Final answer
    x = 447,227.70

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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.