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Finding the Third Proportional to 97,471 and 212,558

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Solution

The third proportional to 97,471 and 212,558 is: 463,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471 : 212,558 = 212,558 : x
  2. Step 2: Convert to fraction form
    97,471/212,558 = 212,558/x
  3. Step 3: Cross multiply
    97,471x = 212,558 × 212,558
  4. Step 4: Simplify right side
    97,471x = 45,180,903,364
  5. Step 5: Solve for x
    x = 45,180,903,364/97,471
  6. Step 6: Final answer
    x = 463,531.75

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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.