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Finding the Third Proportional to 97,369 and 212,274

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Solution

The third proportional to 97,369 and 212,274 is: 462,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,369 : 212,274 = 212,274 : x
  2. Step 2: Convert to fraction form
    97,369/212,274 = 212,274/x
  3. Step 3: Cross multiply
    97,369x = 212,274 × 212,274
  4. Step 4: Simplify right side
    97,369x = 45,060,251,076
  5. Step 5: Solve for x
    x = 45,060,251,076/97,369
  6. Step 6: Final answer
    x = 462,778.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.