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Finding the Third Proportional to 97,260 and 214,932

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Solution

The third proportional to 97,260 and 214,932 is: 474,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,260 : 214,932 = 214,932 : x
  2. Step 2: Convert to fraction form
    97,260/214,932 = 214,932/x
  3. Step 3: Cross multiply
    97,260x = 214,932 × 214,932
  4. Step 4: Simplify right side
    97,260x = 46,195,764,624
  5. Step 5: Solve for x
    x = 46,195,764,624/97,260
  6. Step 6: Final answer
    x = 474,971.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.