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Finding the Third Proportional to 97,494 and 212,832

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Solution

The third proportional to 97,494 and 212,832 is: 464,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494 : 212,832 = 212,832 : x
  2. Step 2: Convert to fraction form
    97,494/212,832 = 212,832/x
  3. Step 3: Cross multiply
    97,494x = 212,832 × 212,832
  4. Step 4: Simplify right side
    97,494x = 45,297,460,224
  5. Step 5: Solve for x
    x = 45,297,460,224/97,494
  6. Step 6: Final answer
    x = 464,617.93

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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.